Sphere-packings, lattices, and groups
Sphere-packings, lattices, and groups
On error-correcting codes and invariant linear forms
SIAM Journal on Discrete Mathematics
On designs and formally self-dual codes
Designs, Codes and Cryptography
Classification of Extremal Double Circulant Formally Self-DualEven Codes
Designs, Codes and Cryptography
Jacobi Polynomials, Type II Codes, and Designs
Designs, Codes and Cryptography
Classification of Formally Self-Dual Even Codes of Lengths up to 16
Designs, Codes and Cryptography
On the Classification of Extremal Even Formally Self-DualCodes
Designs, Codes and Cryptography
Binary Optimal Odd Formally Self-Dual Codes
Designs, Codes and Cryptography
Binary Optimal Linear Rate 1/2 Codes
AAECC-13 Proceedings of the 13th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Self-dual Codes-Theme and Variations
AAECC-14 Proceedings of the 14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Designs and Representation of the Symmetric Group
Designs, Codes and Cryptography
A Criterion for Designs in {\tf="P101461" Z}_4-codes on the Symmetrized Weight Enumerator
Designs, Codes and Cryptography
Designs and self-dual codes with long shadows
Journal of Combinatorial Theory Series A
Support Weight Enumerators and Coset Weight Distributions of Isodual Codes
Designs, Codes and Cryptography
New proofs of the Assmus-Mattson theorem based on the Terwilliger algebra
European Journal of Combinatorics
A survey on spherical designs and algebraic combinatorics on spheres
European Journal of Combinatorics
Commutative association schemes
European Journal of Combinatorics
On the Classification of Type II Codes of Length 24
SIAM Journal on Discrete Mathematics
Extremal self-dual [40,20,8] codes with covering radius 7
Finite Fields and Their Applications
On the classification and enumeration of self-dual codes
Finite Fields and Their Applications
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We define some new polynomials associatedto a linear binary code and a harmonic function of degree k.The case k=0 is the usual weight enumerator of thecode. When divided by (xy)^k, they satisfy a MacWilliamstype equality. When applied to certain harmonic functions constructedfrom Hahn polynomials, they can compute some information on theintersection numbers of the code. As an application, we classifythe extremal even formally self-dual codes of length 12.