Information on Result #1700547
Linear OOA(2175, 4032, F2, 8, 24) (dual of [(4032, 8), 32081, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2175, 4032, F2, 4, 24) (dual of [(4032, 4), 15953, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2175, 4104, F2, 4, 24) (dual of [(4104, 4), 16241, 25]-NRT-code), using
- strength reduction [i] based on linear OOA(2175, 4104, F2, 4, 25) (dual of [(4104, 4), 16241, 26]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2175, 16416, F2, 25) (dual of [16416, 16241, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2175, 16417, F2, 25) (dual of [16417, 16242, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(2169, 16385, F2, 25) (dual of [16385, 16216, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2141, 16385, F2, 21) (dual of [16385, 16244, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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([0,12]) ⊂ C([0,10]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2175, 16417, F2, 25) (dual of [16417, 16242, 26]-code), using
- OOA 4-folding [i] based on linear OA(2175, 16416, F2, 25) (dual of [16416, 16241, 26]-code), using
- strength reduction [i] based on linear OOA(2175, 4104, F2, 4, 25) (dual of [(4104, 4), 16241, 26]-NRT-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.