Information on Result #638113

Linear OA(5111, 125, F5, 75) (dual of [125, 14, 76]-code), using concatenation of two codes based on
  1. linear OA(2518, 25, F25, 18) (dual of [25, 7, 19]-code or 25-arc in PG(17,25)), using
  2. linear OA(53, 5, F5, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,5) or 5-cap in PG(2,5)), using

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(5111, 125, F5, 74) (dual of [125, 14, 75]-code) [i]Strength Reduction
2Linear OA(5110, 124, F5, 74) (dual of [124, 14, 75]-code) [i]Truncation
3Linear OA(5109, 123, F5, 73) (dual of [123, 14, 74]-code) [i]
4Linear OA(5108, 122, F5, 72) (dual of [122, 14, 73]-code) [i]
5Linear OA(5107, 121, F5, 71) (dual of [121, 14, 72]-code) [i]
6Linear OA(5105, 119, F5, 69) (dual of [119, 14, 70]-code) [i]
7Linear OA(5104, 118, F5, 68) (dual of [118, 14, 69]-code) [i]
8Linear OA(5103, 117, F5, 67) (dual of [117, 14, 68]-code) [i]
9Linear OA(5102, 116, F5, 66) (dual of [116, 14, 67]-code) [i]
10Linear OA(5100, 114, F5, 64) (dual of [114, 14, 65]-code) [i]
11Linear OOA(5111, 62, F5, 2, 75) (dual of [(62, 2), 13, 76]-NRT-code) [i]OOA Folding