Information on Result #1613306
Linear OOA(8129, 414, F81, 4, 16) (dual of [(414, 4), 1627, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8129, 414, F81, 16) (dual of [414, 385, 17]-code), using
- construction XX applied to C1 = C([33,47]), C2 = C([32,46]), C3 = C1 + C2 = C([33,46]), and C∩ = C1 ∩ C2 = C([32,47]) [i] based on
- linear OA(8127, 410, F81, 15) (dual of [410, 383, 16]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {33,34,…,47}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(8127, 410, F81, 15) (dual of [410, 383, 16]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {32,33,…,46}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(8129, 410, F81, 16) (dual of [410, 381, 17]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {32,33,…,47}, and designed minimum distance d ≥ |I|+1 = 17 [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 = {33,34,…,46}, and designed minimum distance d ≥ |I|+1 = 15 [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)
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.