Information on Result #1718994
Digital (104, 127, 2958)-net over F4, using net defined by OOA based on linear OOA(4127, 2958, F4, 27, 23) (dual of [(2958, 27), 79739, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4127, 11833, F4, 3, 23) (dual of [(11833, 3), 35372, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4127, 11834, F4, 3, 23) (dual of [(11834, 3), 35375, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4127, 11834, F4, 23) (dual of [11834, 11707, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4127, 16419, F4, 23) (dual of [16419, 16292, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- linear OA(4120, 16384, F4, 23) (dual of [16384, 16264, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(4127, 16419, F4, 23) (dual of [16419, 16292, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4127, 11834, F4, 23) (dual of [11834, 11707, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(4127, 11834, F4, 3, 23) (dual of [(11834, 3), 35375, 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.