Information on Result #1671321
Linear OOA(2246, 6473, F2, 6, 32) (dual of [(6473, 6), 38592, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2246, 6473, F2, 5, 32) (dual of [(6473, 5), 32119, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2246, 6560, F2, 5, 32) (dual of [(6560, 5), 32554, 33]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2246, 32800, F2, 32) (dual of [32800, 32554, 33]-code), using
- 1 times truncation [i] based on linear OA(2247, 32801, F2, 33) (dual of [32801, 32554, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,14]) [i] based on
- linear OA(2241, 32769, F2, 33) (dual of [32769, 32528, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 230−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(2211, 32769, F2, 29) (dual of [32769, 32558, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 230−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to C([0,16]) ⊂ C([0,14]) [i] based on
- 1 times truncation [i] based on linear OA(2247, 32801, F2, 33) (dual of [32801, 32554, 34]-code), using
- OOA 5-folding [i] based on linear OA(2246, 32800, F2, 32) (dual of [32800, 32554, 33]-code), using
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.