Information on Result #1723746
Digital (109, 132, 12430)-net over F5, using net defined by OOA based on linear OOA(5132, 12430, F5, 27, 23) (dual of [(12430, 27), 335478, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5132, 49721, F5, 3, 23) (dual of [(49721, 3), 149031, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5132, 49722, F5, 3, 23) (dual of [(49722, 3), 149034, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5132, 49722, F5, 23) (dual of [49722, 49590, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(5132, 78152, F5, 23) (dual of [78152, 78020, 24]-code), using
- construction XX applied to Ce(22) ⊂ Ce(18) ⊂ Ce(17) [i] based on
- linear OA(5127, 78125, F5, 23) (dual of [78125, 77998, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(5106, 78125, F5, 19) (dual of [78125, 78019, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(599, 78125, F5, 18) (dual of [78125, 78026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), using
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(22) ⊂ Ce(18) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(5132, 78152, F5, 23) (dual of [78152, 78020, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5132, 49722, F5, 23) (dual of [49722, 49590, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(5132, 49722, F5, 3, 23) (dual of [(49722, 3), 149034, 24]-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.