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Linear cyclic codes of wordlength v over GF(q s ) which are also linear cyclic codes of wordlength sv over GF(q)
Authors:Douglas A Leonard
Institution:(1) Department of Algebra, Combinatorics and Analysis, Auburn University, 36849 Auburn, Alabama, USA
Abstract:Any nonsingular linear transformation phgr: GF(qs) rarr GF(qs) can be used to treat a linear cyclic code rgr of wordlength v over GF(qs) as a linear code phgr(rgr) of Wordlength sv over GF(q). This paper determines those linear cyclic codes rgr and transformations phgr for which the resulting linear code phgr(rgr) is also cyclic.
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