Information on Result #1812285
Digital (12, 26, 477)-net over F81, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8126, 477, F81, 14) (dual of [477, 451, 15]-code), using
- 62 step Varšamov–Edel lengthening with (ri) = (1, 61 times 0) [i] based on linear OA(8125, 414, F81, 14) (dual of [414, 389, 15]-code), using
- construction XX applied to C1 = C([35,47]), C2 = C([34,46]), C3 = C1 + C2 = C([35,46]), and C∩ = C1 ∩ C2 = C([34,47]) [i] based on
- linear OA(8123, 410, F81, 13) (dual of [410, 387, 14]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {35,36,…,47}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(8123, 410, F81, 13) (dual of [410, 387, 14]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {34,35,…,46}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(8125, 410, F81, 14) (dual of [410, 385, 15]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {34,35,…,47}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(8121, 410, F81, 12) (dual of [410, 389, 13]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {35,36,…,46}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code) (see above)
- construction XX applied to C1 = C([35,47]), C2 = C([34,46]), C3 = C1 + C2 = C([35,46]), and C∩ = C1 ∩ C2 = C([34,47]) [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.