(1, 3) solid burst-correcting optimal linear codes over GF(5)
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In 2012, Das [5] had obtained a lower bound on the neces- sary number of parity-check digits in an (n = n₁ + n₁, k) linear codes over GF(2) which are optimal in a speci c sense viz. which are capa- ble to correct single errors in the rst sub-block of length n1 and solid bursts of length 3 or less in the second sub-block of length n2 as well as gave sucient condition for the existence of such codes. Later, Lata and Tyagi [9] had studied these codes over GF(3). In this paper, the author examines the possibility of the existence of such codes over GF(5).
Abstract
In 2012, Das [5] had obtained a lower bound on the neces- sary number of parity-check digits in an (n = n₁ + n₁, k) linear codes over GF(2) which are optimal in a speci c sense viz. which are capa- ble to correct single errors in the rst sub-block of length n1 and solid bursts of length 3 or less in the second sub-block of length n2 as well as gave sucient condition for the existence of such codes. Later, Lata and Tyagi [9] had studied these codes over GF(3). In this paper, the author examines the possibility of the existence of such codes over GF(5).
참고문헌 (12)
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