Information on Result #638117

Linear OA(5113, 125, F5, 79) (dual of [125, 12, 80]-code), using concatenation of two codes based on
  1. linear OA(2519, 25, F25, 19) (dual of [25, 6, 20]-code or 25-arc in PG(18,25)), 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(5113, 125, F5, 78) (dual of [125, 12, 79]-code) [i]Strength Reduction
2Linear OA(5113, 125, F5, 77) (dual of [125, 12, 78]-code) [i]
3Linear OA(5112, 124, F5, 78) (dual of [124, 12, 79]-code) [i]Truncation
4Linear OA(5111, 123, F5, 77) (dual of [123, 12, 78]-code) [i]
5Linear OA(5110, 122, F5, 76) (dual of [122, 12, 77]-code) [i]
6Linear OA(5109, 121, F5, 75) (dual of [121, 12, 76]-code) [i]
7Linear OA(5107, 119, F5, 73) (dual of [119, 12, 74]-code) [i]
8Linear OA(5106, 118, F5, 72) (dual of [118, 12, 73]-code) [i]
9Linear OA(5105, 117, F5, 71) (dual of [117, 12, 72]-code) [i]
10Linear OA(5104, 116, F5, 70) (dual of [116, 12, 71]-code) [i]
11Linear OA(5102, 114, F5, 68) (dual of [114, 12, 69]-code) [i]
12Linear OOA(5113, 62, F5, 2, 79) (dual of [(62, 2), 11, 80]-NRT-code) [i]OOA Folding