Information on Result #1731118
Digital (44, 56, 29534)-net over F9, using net defined by OOA based on linear OOA(956, 29534, F9, 15, 12) (dual of [(29534, 15), 442954, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(956, 59069, F9, 3, 12) (dual of [(59069, 3), 177151, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(956, 59070, F9, 3, 12) (dual of [(59070, 3), 177154, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(956, 59070, F9, 12) (dual of [59070, 59014, 13]-code), using
- construction XX applied to Ce(11) ⊂ Ce(7) ⊂ Ce(6) [i] based on
- linear OA(951, 59049, F9, 12) (dual of [59049, 58998, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(936, 59049, F9, 8) (dual of [59049, 59013, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(931, 59049, F9, 7) (dual of [59049, 59018, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(94, 20, F9, 3) (dual of [20, 16, 4]-code or 20-cap in PG(3,9)), using
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(11) ⊂ Ce(7) ⊂ Ce(6) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(956, 59070, F9, 12) (dual of [59070, 59014, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(956, 59070, F9, 3, 12) (dual of [(59070, 3), 177154, 13]-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.