If and are nonnegative integers and F is a field, then a polynomial collection {p1, . . . , p} Z[1, . . . , ] is said to be solvable over F if there exist 1, . . . , F such t...
Randall Dougherty, Christopher F. Freiling, Kennet...
Complete (n, r)-arcs in PG(k - 1, q) and projective (n, k, n - r)q-codes that admit no projective extensions are equivalent objects. We show that projective codes of reasonable le...
In this paper, we study the rank distributions of linear codes. We give the analogous to the MacWilliams identity for the rank distributions of codes. The considerations of our pr...
We generalize the notion of cyclic codes by using generator polynomials in (non commutative) skew polynomial rings. Since skew polynomial rings are left and right euclidean, the o...