Information on Result #736311

Linear OA(58, 12, F5, 7) (dual of [12, 4, 8]-code), using an explicit generator matrix

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(57, 11, F5, 6) (dual of [11, 4, 7]-code) [i]Truncation
2Linear OA(5149, 168, F5, 91) (dual of [168, 19, 92]-code) [i]Construction X with Cyclic Codes
3Linear OA(5106, 137, F5, 56) (dual of [137, 31, 57]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(570, 137, F5, 32) (dual of [137, 67, 33]-code) [i]
5Linear OA(569, 137, F5, 31) (dual of [137, 68, 32]-code) [i]
6Linear OA(5107, 138, F5, 57) (dual of [138, 31, 58]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
7Linear OA(5109, 140, F5, 61) (dual of [140, 31, 62]-code) [i]Construction X with VarÅ¡amov Bound
8Linear OA(5112, 143, F5, 63) (dual of [143, 31, 64]-code) [i]