Information on Result #605218

Linear OA(858, 59, F8, 58) (dual of [59, 1, 59]-code or 59-arc in PG(57,8)), using dual of repetition code with length 59

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(858, 59, F8, 57) (dual of [59, 1, 58]-code) [i]Strength Reduction
2Linear OA(858, 59, F8, 56) (dual of [59, 1, 57]-code) [i]
3Linear OA(858, 59, F8, 55) (dual of [59, 1, 56]-code) [i]
4Linear OA(858, 59, F8, 54) (dual of [59, 1, 55]-code) [i]
5Linear OA(858, 59, F8, 53) (dual of [59, 1, 54]-code) [i]
6Linear OA(883, 96, F8, 58) (dual of [96, 13, 59]-code) [i]VarÅ¡amov–Edel Lengthening
7Linear OA(887, 106, F8, 58) (dual of [106, 19, 59]-code) [i]
8Linear OA(8103, 165, F8, 58) (dual of [165, 62, 59]-code) [i]
9Linear OA(8104, 170, F8, 58) (dual of [170, 66, 59]-code) [i]
10Linear OA(8121, 290, F8, 58) (dual of [290, 169, 59]-code) [i]
11Linear OA(8162, 1192, F8, 58) (dual of [1192, 1030, 59]-code) [i]
12Linear OA(8164, 1280, F8, 58) (dual of [1280, 1116, 59]-code) [i]
13Linear OA(8171, 1644, F8, 58) (dual of [1644, 1473, 59]-code) [i]
14Linear OA(8172, 1704, F8, 58) (dual of [1704, 1532, 59]-code) [i]