Information on Result #1813484
Digital (15, 37, 388)-net over F128, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(12837, 388, F128, 22) (dual of [388, 351, 23]-code), using
- 4 step Varšamov–Edel lengthening with (ri) = (1, 0, 0, 0) [i] based on linear OA(12836, 383, F128, 22) (dual of [383, 347, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(12836, 382, F128, 22) (dual of [382, 346, 23]-code), using an extension Ce(21) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(12835, 382, F128, 21) (dual of [382, 347, 22]-code), using an extension Ce(20) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(1280, 1, F128, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
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.