Quadratic double circulant codes over fields
Journal of Combinatorial Theory Series A
On the Minimum Weight of Codes over F5 Constructed from Certain Conference Matrices
Designs, Codes and Cryptography
Self-Dual Codes and Invariant Theory (Algorithms and Computation in Mathematics)
Self-Dual Codes and Invariant Theory (Algorithms and Computation in Mathematics)
On self-dual codes over $${\mathbb{F}}_5$$
Designs, Codes and Cryptography
Skew Hadamard designs and their codes
Designs, Codes and Cryptography
There exists no self-dual [24,12,10] code over $${{\mathbb F}_5}$$
Designs, Codes and Cryptography
Self-dual codes over Fp and weighing matrices
IEEE Transactions on Information Theory
Experimental constructions of self-dual codes
Finite Fields and Their Applications
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In this paper, we give some new extremal ternary self-dual codes which are constructed by skew-Hadamard matrices. This has been achieved with the aid of a recently presented modification of a known construction method. In addition, we survey the known results for self-dual codes over GF (5) constructed via combinatorial designs, i.e. Hadamard and skew-Hadamard matrices, and we give a new self-dual code of length 72 and dimension 36 whose minimum weight is 16 over GF (5) for the first time. Furthermore, we give some properties of the generated self-dual codes interpreted in terms of algebraic coding theory, such as the orders of their automorphism groups and the corresponding weight enumerators.