Four mutually orthogonal Latin squares of orders 28 and 52. - R. Julian R. Abel (J. Comb. Theory A, 1991)

Four MOLS of Orders 20, 30, 38, and 44. - R. Julian R. Abel; D. T. Todorov (J. Comb. Theory A, 1993)

Some new MOLS of order 2np for p a prime power. - R. Julian R. Abel; Y. W. Cheng (Australas. J Comb., 1994)

Forty-Three Balanced Incomplete Block Designs. - R. Julian R. Abel (J. Comb. Theory A, 1994)

Some new RBIBDs with block size 5 and PBDs with block sizes ≡1 mod 5. - R. Julian R. Abel; Malcolm Greig (Australas. J Comb., 1997)

On the Closure of Subsets of {4, 5, ..., 9} which contain {4}. - Ronald C. Mullin; Alan C. H. Ling; R. Julian R. Abel; Frank E. Bennett (Ars Comb., 1997)

Existence of Incomplete Transversal Designs with Block Size Five and Any Index lambda. - R. Julian R. Abel; Charles J. Colbourn; Jianxing Yin; Hantao Zhang 001 (Des. Codes Cryptogr., 1997)

Resolvable Balanced Incomplete Block Designs with Block Size 8. - Malcolm Greig; R. Julian R. Abel (Des. Codes Cryptogr., 1997)

Balanced Incomplete Block Designs with Block Size 7. - R. Julian R. Abel; Malcolm Greig (Des. Codes Cryptogr., 1998)

Perfect Mendelsohn Packing Designs with Block Size Five. - Frank E. Bennett; Jianxing Yin; Hantao Zhang 001; R. Julian R. Abel (Des. Codes Cryptogr., 1998)

The existence of perfect Mendelsohn designs with block size 7. - R. Julian R. Abel; Frank E. Bennett (Discret. Math., 1998)

Direct constructions for certain types of HMOLS. - R. Julian R. Abel; Hantao Zhang 001 (Discret. Math., 1998)

A few more incomplete self-orthogonal Latin squares and related designs. - R. Julian R. Abel; Frank E. Bennett; Hantao Zhang 001; Lie Zhu (Australas. J Comb., 2000)

Existence of HSOLSSOMs with type hn and 1nu1. - R. Julian R. Abel; Frank E. Bennett; Hantao Zhang 001; Lie Zhu (Ars Comb., 2000)

Steiner pentagon covering designs. - R. Julian R. Abel; Frank E. Bennett; Hantao Zhang 001; Lie Zhu (Discret. Math., 2001)

Resolvable BIBDs with block size 7 and index 6. - R. Julian R. Abel; Malcolm Greig; Ying Miao 001; Lie Zhu (Discret. Math., 2001)

Almost resolvable perfect Mendelsohn designs with block size five. - R. Julian R. Abel; Frank E. Bennett; Gennian Ge (Discret. Appl. Math., 2002)

The Existence of Four HMOLS with Equal Sized Holes. - R. Julian R. Abel; Frank E. Bennett; Gennian Ge (Des. Codes Cryptogr., 2002)

Balanced Incomplete Block Designs with Block Size 9 and lambda=2, 4, 8. - R. Julian R. Abel; Iliya Bluskov; Malcolm Greig (Des. Codes Cryptogr., 2002)

Modified group divisible designs with block size 5 and lambda=1. - R. Julian R. Abel; Ahmed M. Assaf (Discret. Math., 2002)

Resolvable perfect Mendelsohn designs with block size five. - R. Julian R. Abel; Frank E. Bennett; Gennian Ge (Discret. Math., 2002)

Existence of Steiner seven-cycle systems. - R. Julian R. Abel; Frank E. Bennett; Gennian Ge; Lie Zhu (Discret. Math., 2002)

The existence of three idempotent IMOLS. - R. Julian R. Abel; Beiliang Du (Discret. Math., 2003)

(3, 6) GWhD(v)-existence results. - R. Julian R. Abel; Norman J. Finizio; Malcolm Greig (Discret. Math., 2003)

Generalized whist tournament designs. - R. Julian R. Abel; Norman J. Finizio; Malcolm Greig; Scott J. Lewis (Discret. Math., 2003)

Existence of OBIBDs with k=4 with and without nesting. - R. Julian R. Abel; Malcolm Greig; David H. Rees (Discret. Math., 2003)

Balanced incomplete block designs with block size 9: Part III. - R. Julian R. Abel; Iliya Bluskov; Malcolm Greig (Australas. J Comb., 2004)

Bhaskar Rao designs and the groups of order 12. - R. Julian R. Abel; Diana Combe; William D. Palmer (Australas. J Comb., 2004)

Directed-ordered whist tournaments and (v, 5, 1) difference families: existence results and some new classes of Z-cyclic solutions. - R. Julian R. Abel; Stephanie Costa; Norman J. Finizio (Discret. Appl. Math., 2004)

Balanced incomplete block designs with block size 9: part II. - R. Julian R. Abel; Iliya Bluskov; Malcolm Greig (Discret. Math., 2004)

Some progress on (v, 4, 1) difference families and optical orthogonal codes. - R. Julian R. Abel; Marco Buratti (J. Comb. Theory A, 2004)

Generalized Bhaskar Rao designs and dihedral groups. - R. Julian R. Abel; Diana Combe; William D. Palmer (J. Comb. Theory A, 2004)

Some difference matrix constructions and an almost completion for the existence of triplewhist tournaments TWh(upsilon). - R. Julian R. Abel; Gennian Ge (Eur. J. Comb., 2005)

New Z-cyclic triplewhist frames and triplewhist tournament designs. - R. Julian R. Abel; Norman J. Finizio; Gennian Ge; Malcolm Greig (Discret. Appl. Math., 2006)

The Existence of (nu, 6, lambda)-Perfect Mendelsohn Designs with lambda > 1. - R. Julian R. Abel; Frank E. Bennett (Des. Codes Cryptogr., 2006)

Some new near resolvable BIBDs with k=7 and resolvable BIBDs with k=5. - R. Julian R. Abel (Australas. J Comb., 2007)

Pair covering designs with block size 5. - R. Julian R. Abel; Ahmed M. Assaf; Frank E. Bennett; Iliya Bluskov; Malcolm Greig (Discret. Math., 2007)

Some V(12, t) vectors and designs from difference and quasi-difference matrices. - R. Julian R. Abel (Australas. J Comb., 2008)

Super-simple Steiner pentagon systems. - R. Julian R. Abel; Frank E. Bennett (Discret. Appl. Math., 2008)

Existence of directed triplewhist tournaments with the three person property 3PDTWh(v). - R. Julian R. Abel; Frank E. Bennett; Gennian Ge (Discret. Appl. Math., 2008)

Modified group divisible designs with block size 5 and even index. - R. Julian R. Abel; Ahmed M. Assaf (Discret. Math., 2008)

Existence of HSOLSSOMs of type 2nu1. - R. Julian R. Abel; Frank E. Bennett; Hantao Zhang 001 (Discret. Math., 2008)

A few more Kirkman squares and doubly near resolvable BIBDs with block size 3. - R. Julian R. Abel; Esther R. Lamken; Jinhua Wang (Discret. Math., 2008)

Existence of (2, 8) GWhD( v ) and (4, 8) GWhD( v ) with v .0, 1 (mod 8){v equiv 0, 1 (mod 8)}. - R. Julian R. Abel; Norman J. Finizio; Malcolm Greig; Luis B. Morales (Des. Codes Cryptogr., 2009)

Existence of generalized Bhaskar Rao designs with block size 3. - R. Julian R. Abel; Diana Combe; Georgina Price; William D. Palmer (Discret. Math., 2009)

Further results on (v, {5, w*}, 1)-PBDs. - R. Julian R. Abel; Gennian Ge; Malcolm Greig; Alan C. H. Ling (Discret. Math., 2009)

Super-simple, Pan-orientable, and Pan-decomposable BIBDs with Block Size 4 and Related Structures. - R. Julian R. Abel; Frank E. Bennett; M. Grüttmüller (Graphs Comb., 2009)

Existence of doubly near resolvable (v, 4, 3) BIBDs. - R. Julian R. Abel; Nigel H. N. Chan (Australas. J Comb., 2010)

Existence of directed BIBDs with block size 7 and related perfect 5-deletion-correcting codes of length 7. - R. Julian R. Abel; Frank E. Bennett (Des. Codes Cryptogr., 2010)

Super-simple, pan-orientable and pan-decomposable GDDs with block size 4. - R. Julian R. Abel; Frank E. Bennett (Discret. Math., 2010)

GBRDs over groups of orders <=100 or of order pq with p, q primes. - R. Julian R. Abel; Diana Combe; Adrian M. Nelson; William D. Palmer (Discret. Math., 2010)

GBRDs with Block Size Three over 2-Groups, Semi-Dihedral Groups and Nilpotent Groups. - R. Julian R. Abel; Diana Combe; Adrian M. Nelson; William D. Palmer (Electron. J. Comb., 2011)

Necessary conditions for the existence of two classes of ZCPS-Wh(v). - R. Julian R. Abel; Ian Anderson 001; Norman J. Finizio (Discret. Appl. Math., 2011)

Existence of GBRDs with block size 4 and BRDs with block size 5. - R. Julian R. Abel; Nigel H. N. Chan; Diana Combe; William D. Palmer (Des. Codes Cryptogr., 2011)

GBRDs with block size 3 over odd order groups and groups of orders divisible by 2 but not 4. - R. Julian R. Abel; Diana Combe; Adrian M. Nelson; William D. Palmer (Australas. J Comb., 2012)

Existence of 2 SOLS and 2 ISOLS. - R. Julian R. Abel; Frank E. Bennett (Discret. Math., 2012)

Super-Simple Twofold Steiner Pentagon Systems. - R. Julian R. Abel; Frank E. Bennett (Graphs Comb., 2012)

Induced Subarrays of Latin Squares Without Repeated Symbols. - R. Julian R. Abel; Nicholas J. Cavenagh; Jaromy Kuhl (Electron. J. Comb., 2013)

GBRDs over supersolvable groups and solvable groups of order prime to 3. - R. Julian R. Abel; Diana Combe; Adrian M. Nelson; William D. Palmer (Des. Codes Cryptogr., 2013)

Existence of HSOLSSOMs of type 4nu1. - R. Julian R. Abel; Frank E. Bennett (Australas. J Comb., 2014)

Some constructions for t pairwise orthogonal diagonal Latin squares based on difference matrices. - R. Julian R. Abel; Yang Li (Discret. Math., 2015)

Some new resolvable GDDs with k=4 and doubly resolvable GDDs with k=3. - Juan Du; R. Julian R. Abel; Jinhua Wang (Discret. Math., 2015)

On generalized Howell designs with block size three. - R. Julian R. Abel; Robert F. Bailey; Andrea C. Burgess; Peter Danziger; Eric Mendelsohn (Des. Codes Cryptogr., 2016)

Existence of near resolvable (v, k, k-1) BIBDs with k∈{9, 12, 16}. - R. Julian R. Abel (Australas. J Comb., 2017)

Block designs signed over groups of order 2n3m. - R. Julian R. Abel; Diana Combe; Adrian M. Nelson; William D. Palmer (Discret. Math., 2017)

Existence of incomplete canonical Kirkman packing designs. - Lingye Wang; R. Julian R. Abel; Dameng Deng; Jinhua Wang (Discret. Math., 2018)

Existence of incomplete canonical Kirkman covering designs. - Jiahao Tang; R. Julian R. Abel; Jinhua Wang (Discret. Math., 2020)

Existence of 4-GDDs with at most 50 points and 4-GDDs of types 6s3t and 9s3t. - R. Julian R. Abel; Yudhistira A. Bunjamin; Diana Combe (Discret. Math., 2021)

Difference matrices with five rows over finite abelian groups. - Rong Pan; R. Julian R. Abel; Yudhistira A. Bunjamin; Tao Feng 002; Tiana J. Tsang Ung; Xiaomiao Wang (Des. Codes Cryptogr., 2022)

Group divisible designs with block size 4 where the group sizes are congruent to 2 mod 3. - R. Julian R. Abel; Thomas Britz; Yudhistira A. Bunjamin; Diana Combe (Discret. Math., 2022)

The 4-GDDs of type 3562. - R. Julian R. Abel; Yudhistira A. Bunjamin; Diana Combe (Discret. Math., 2022)

42-Decomposable super-simple (v, 4, 8)-BIBDs. - Jingyuan Chen; Huangsheng Yu; R. Julian R. Abel; Dianhua Wu (Discret. Math., 2022)

Group divisible designs with block size 4 where the group sizes are congruent to 1 mod 3. - R. Julian R. Abel; Thomas Britz; Yudhistira A. Bunjamin; Diana Combe; Tao Feng 002 (Discret. Math., 2023)

Constructions of optimal multiply constant-weight codes MCWC$ (3, n_1;1, n_2;1, n_3;8)s $. - Liying Pan; R. Julian R. Abel; Jinhua Wang (Adv. Math. Commun., 2024)

Group divisible designs with block size 4 and group sizes 4 and 10 and some other 4-GDDs. - Changyuan Wang; R. Julian R. Abel; Thomas Britz; Yudhistira A. Bunjamin; Diana Combe (Discret. Math., 2025)