Information on Result #736662

Linear OA(556, 71, F5, 36) (dual of [71, 15, 37]-code), using a cyclic, quasi-cyclic, or quasi-twisted code by Daskalov, Hristov, and Metodieva

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(556, 71, F5, 35) (dual of [71, 15, 36]-code) [i]Strength Reduction
2Linear OA(556, 71, F5, 34) (dual of [71, 15, 35]-code) [i]
3Linear OA(557, 72, F5, 36) (dual of [72, 15, 37]-code) [i]Code Embedding in Larger Space
4Linear OA(558, 73, F5, 36) (dual of [73, 15, 37]-code) [i]
5Linear OA(559, 74, F5, 36) (dual of [74, 15, 37]-code) [i]
6Linear OA(560, 75, F5, 36) (dual of [75, 15, 37]-code) [i]
7Linear OA(555, 70, F5, 35) (dual of [70, 15, 36]-code) [i]Truncation
8Linear OA(554, 69, F5, 34) (dual of [69, 15, 35]-code) [i]
9Linear OA(553, 68, F5, 33) (dual of [68, 15, 34]-code) [i]
10Linear OA(552, 67, F5, 32) (dual of [67, 15, 33]-code) [i]
11Linear OA(551, 66, F5, 31) (dual of [66, 15, 32]-code) [i]
12Linear OA(550, 65, F5, 30) (dual of [65, 15, 31]-code) [i]
13Linear OA(549, 64, F5, 29) (dual of [64, 15, 30]-code) [i]
14Linear OA(548, 63, F5, 28) (dual of [63, 15, 29]-code) [i]
15Linear OA(563, 82, F5, 36) (dual of [82, 19, 37]-code) [i]VarÅ¡amov–Edel Lengthening
16Linear OA(560, 76, F5, 36) (dual of [76, 16, 37]-code) [i]Construction X with VarÅ¡amov Bound
17Linear OA(561, 78, F5, 36) (dual of [78, 17, 37]-code) [i]
18Linear OOA(556, 35, F5, 2, 36) (dual of [(35, 2), 14, 37]-NRT-code) [i]OOA Folding
19Linear OOA(556, 23, F5, 3, 36) (dual of [(23, 3), 13, 37]-NRT-code) [i]