Cyclic and constacyclic codes form a pivotal class of linear error‐correcting codes that are defined over finite fields. Their algebraic structure, characterised by ideals in polynomial quotient rings ...

For those of you interested, I have a review of Finite Fields and Applications by Gary Mullen and Carl Mummert now posted at MAA Reviews. You can get to it here, although you have to be an MAA member ...

Combinatorial geometry and finite fields constitute a vibrant area of research that bridges classical geometric intuition with discrete algebraic structures. This interdisciplinary field examines the ...

Sankhyā: The Indian Journal of Statistics, Series B (1960-2002), Vol. 54, SPECIAL VOLUME (1992), pp. 531-543 (13 pages) Main results on geometries of classical groups over finite fields and their ...

We present a novel idea to compute square roots over finite fields, without being given any quadratic nonresidue, and without assuming any unproven hypothesis. The algorithm is deterministic and the ...

A new class of highly efficient and scalable quantum low-density parity-check error correction codes, capable of performance ...