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- David G. Glynn, James W. P. Hirschfeld
- Des. Codes Cryptography
- 1995

- David G. Glynn
- Discrete Mathematics
- 1986

- David G. Glynn, T. Aaron Gulliver, Manish K. Gupta
- Ars Comb.
- 2007

This paper studies families of self-orthogonal codes over Z 4. We show that the simplex codes (Type α and Type β) are self-orthogonal. We partially answer the question of Z 4-linearity for the codes from projective planes of even order. A new family of self-orthogonal codes over Z 4 is constructed via projective planes of odd order. Properties such as… (More)

- David G. Glynn
- Eur. J. Comb.
- 2010

- David G. Glynn
- SIAM J. Discrete Math.
- 2010

A formula for Glynn's hyperdeterminant detp (p prime) of a square matrix shows that the number of ways to decompose any integral doubly stochastic matrix with row and column sums p − 1 into p − 1 permutation matrices with even product, minus the number of ways with odd product, is 1 (mod p). It follows that the number of even Latin squares of order p − 1 is… (More)

- Peter Beelen, David G. Glynn, Tom Høholdt, Krishna V. Kaipa
- ArXiv
- 2016

In this article we count the number of [n, k] generalized Reed– Solomon (GRS) codes, including the codes coming from a non-degenerate conic plus nucleus. We compare our results with known formulae for the number of [n, 3] MDS codes with n = 6, 7, 8, 9.

- David G. Glynn
- Des. Codes Cryptography
- 2011

There is polynomial function Xq in the entries of an m × m(q − 1) matrix over a field of prime characteristic p, where q = p h is a power of p, that has very similar properties to the determinant of a square matrix. It is invariant under multiplication on the left by a non-singular matrix, and under permutations of the columns. This gives a way to extend… (More)

- David G. Glynn
- J. Comb. Theory, Ser. A
- 1988

- David G. Glynn, Johannes G. Maks, Rey Casse
- Des. Codes Cryptography
- 2006

- David G. Glynn, Günter F. Steinke
- Eur. J. Comb.
- 1993