Information on Result #1722994
Digital (57, 75, 964)-net over F5, using net defined by OOA based on linear OOA(575, 964, F5, 21, 18) (dual of [(964, 21), 20169, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(575, 2893, F5, 3, 18) (dual of [(2893, 3), 8604, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(575, 2895, F5, 3, 18) (dual of [(2895, 3), 8610, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(575, 2895, F5, 18) (dual of [2895, 2820, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(575, 3144, F5, 18) (dual of [3144, 3069, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(13) [i] based on
- linear OA(571, 3125, F5, 18) (dual of [3125, 3054, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(556, 3125, F5, 14) (dual of [3125, 3069, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(54, 19, F5, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,5)), using
- construction X applied to Ce(17) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(575, 3144, F5, 18) (dual of [3144, 3069, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(575, 2895, F5, 18) (dual of [2895, 2820, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(575, 2895, F5, 3, 18) (dual of [(2895, 3), 8610, 19]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.