We generalize results of Homma and Kim [2001, J. Pure Appl. Algebra 162, 273?290] concerning an improvement on the Goppa bound on the minimum distance of certain Goppa codes.
In this paper, we study binary optimal odd formally self-dual codes. All optimal odd formally self-dual codes are classified for length up to 16. The highest minimum weight of any ...
In this paper, a Legendre sequence of period p for any odd prime p is explicitely represented as a sum of trace functions from GF(2n) to GF(2), where n is the order of 2 mod p.