Information on Result #1719232
Digital (149, 173, 38426)-net over F4, using net defined by OOA based on linear OOA(4173, 38426, F4, 27, 24) (dual of [(38426, 27), 1037329, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(4173, 153705, F4, 3, 24) (dual of [(153705, 3), 460942, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4173, 153708, F4, 3, 24) (dual of [(153708, 3), 460951, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4173, 153708, F4, 24) (dual of [153708, 153535, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(4173, 262199, F4, 24) (dual of [262199, 262026, 25]-code), using
- construction X applied to Ce(24) ⊂ Ce(17) [i] based on
- linear OA(4163, 262144, F4, 25) (dual of [262144, 261981, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(4118, 262144, F4, 18) (dual of [262144, 262026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(410, 55, F4, 5) (dual of [55, 45, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- construction X applied to Ce(24) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(4173, 262199, F4, 24) (dual of [262199, 262026, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4173, 153708, F4, 24) (dual of [153708, 153535, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(4173, 153708, F4, 3, 24) (dual of [(153708, 3), 460951, 25]-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.