On Matrix Representation of Extension Field GF(pL) and Its Application in Vector Linear Network Coding

• Published in: Entropy (Basel, Switzerland) Vol. 26; no. 10; p. 822
• Main Authors: Tang, Hanqi, Liu, Heping, Jin, Sheng, Liu, Wenli, Sun, Qifu
• Format: Journal Article
• Language: English
• Published: Switzerland MDPI AG 26.09.2024; MDPI
• Subjects: Arithmetic; Coding; Correlation; Fields (mathematics); finite field; Libraries; Lookup tables; Matrix representation; vector linear network coding; finite field; vector linear network coding; matrix representation

For a finite field GF(pL) with prime p and L>1, one of the standard representations is L×L matrices over GF(p) so that the arithmetic of GF(pL) can be realized by the arithmetic among these matrices over GF(p). Based on the matrix representation of GF(pL), a conventional linear network coding sch...