Information on Result #1203286
Digital (40, 50, 1922388)-net over F128, using net defined by OOA based on linear OOA(12850, 1922388, F128, 15, 10) (dual of [(1922388, 15), 28835770, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12850, 3844777, F128, 3, 10) (dual of [(3844777, 3), 11534281, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12850, 3844778, F128, 3, 10) (dual of [(3844778, 3), 11534284, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12813, 1048577, F128, 3, 5) (dual of [(1048577, 3), 3145718, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(12813, 2097155, F128, 5) (dual of [2097155, 2097142, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(12813, 2097152, F128, 5) (dual of [2097152, 2097139, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(12810, 2097152, F128, 4) (dual of [2097152, 2097142, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 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(4) ⊂ Ce(3) [i] based on
- OOA 2-folding and stacking with additional row [i] based on linear OA(12813, 2097155, F128, 5) (dual of [2097155, 2097142, 6]-code), using
- linear OOA(12837, 2796201, F128, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12837, large, F128, 10) (dual of [large, large−37, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- OOA 3-folding [i] based on linear OA(12837, large, F128, 10) (dual of [large, large−37, 11]-code), using
- linear OOA(12813, 1048577, F128, 3, 5) (dual of [(1048577, 3), 3145718, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(12850, 3844778, F128, 3, 10) (dual of [(3844778, 3), 11534284, 11]-NRT-code), using
Mode: Constructive and 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.