COUNTING THE GENERATOR MATRICES OF Z2Z8-CODES

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Mathematical Sciences and Applications E-Notes
Volume:1 Issue:2
COUNTING THE GENERATOR MATRICES OF Z2Z8-CODES

COUNTING THE GENERATOR MATRICES OF Z2Z8-CODES

Authors : İrfan ŞİAP, İsmailaydoğdu

Pages : 143-149

View : 38 | Download : 9

Publication Date : 2013-12-01

Article Type : Research Paper

Abstract :In this paper, we count the number of matrices whose rows generate different Z2Z8additive codes. This is a natural generalization of thewell known Gaussian numbers that count the number of matrices whose rowsgenerate vector spaces with particular dimension over finite fields.Due tothis similarity we name this numbers as Mixed Generalized Gaussian Numbers insert ignore into journalissuearticles values(MGN);. By specialization of MGN formula the well known formula forthe number of binary codes and the number of codes over Z8, and for additive Z2Z4codes are easily derived. Also, we conclude by some properties andexamples of the MGN numbers that provide a good source for new number sequences that are not listed in The On-Line Encyclopedia of Integer Sequences
Keywords : Gaussian numbers, Mixed Generalized Gaussian Numbers, NewSequences

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