Information on Result #736651

Linear OA(553, 62, F5, 38) (dual of [62, 9, 39]-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(553, 62, F5, 37) (dual of [62, 9, 38]-code) [i]Strength Reduction
2Linear OA(553, 62, F5, 36) (dual of [62, 9, 37]-code) [i]
3Linear OA(553, 62, F5, 35) (dual of [62, 9, 36]-code) [i]
4Linear OA(555, 64, F5, 38) (dual of [64, 9, 39]-code) [i]Code Embedding in Larger Space
5Linear OA(552, 61, F5, 37) (dual of [61, 9, 38]-code) [i]Truncation
6Linear OA(551, 60, F5, 36) (dual of [60, 9, 37]-code) [i]
7Linear OA(550, 59, F5, 35) (dual of [59, 9, 36]-code) [i]
8Linear OA(549, 58, F5, 34) (dual of [58, 9, 35]-code) [i]
9Linear OA(548, 57, F5, 33) (dual of [57, 9, 34]-code) [i]
10Linear OA(547, 56, F5, 32) (dual of [56, 9, 33]-code) [i]
11Linear OA(546, 55, F5, 31) (dual of [55, 9, 32]-code) [i]
12Linear OA(545, 54, F5, 30) (dual of [54, 9, 31]-code) [i]
13Linear OOA(553, 31, F5, 2, 38) (dual of [(31, 2), 9, 39]-NRT-code) [i]OOA Folding
14Linear OOA(553, 20, F5, 3, 38) (dual of [(20, 3), 7, 39]-NRT-code) [i]