Title :
Short Additive Quaternary Codes
Author :
Bierbrauer, Jürgen ; Edel, Yves ; Faina, Giorgio ; Marcugini, Stefano ; Pambianco, Fernanda
Author_Institution :
Dept. of Math. Sci., Michigan Technol. Univ., Houghton, MI
fDate :
3/1/2009 12:00:00 AM
Abstract :
In this paper, the best parameters of quaternary additive codes of small length are determined using the geometric description. Only one open question remains for length les 13. Among the results obtained in this work are the nonexistence of [12, 7, 5]-codes and [12, 4.5, 7]-codes as well as the existence of a [13, 7.5, 5]-code.
Keywords :
linear codes; additive quaternary codes; geometric description; linear codes; Additives; Algebra; Informatics; Instruction sets; Linear code; Materials science and technology; Mathematics; Linear codes; binary projective spaces; quaternary additive codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2008.2011447
