Srivastava code
Appearance
In coding theory, Srivastava codes, formulated by Professor J. N. Srivastava, form a class of parameterised error-correcting codes which are a special case of alternant codes.
Definition
[edit]The original Srivastava code over GF(q) of length n is defined by a parity check matrix H of alternant form
where the αi and zi are elements of GF(qm)
Properties
[edit]The parameters of this code are length n, dimension ≥ n − ms and minimum distance ≥ s + 1.
References
[edit]- F.J. MacWilliams; N.J.A. Sloane (1977). The Theory of Error-Correcting Codes. North-Holland. pp. 357–360. ISBN 0-444-85193-3.