Information on Result #1616080
Linear OOA(2213, 2097214, F2, 4, 17) (dual of [(2097214, 4), 8388643, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(228, 64, F2, 4, 8) (dual of [(64, 4), 228, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(228, 64, F2, 2, 8) (dual of [(64, 2), 100, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(228, 128, F2, 8) (dual of [128, 100, 9]-code), using
- 1 times truncation [i] based on linear OA(229, 129, F2, 9) (dual of [129, 100, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 129 | 214−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(229, 129, F2, 9) (dual of [129, 100, 10]-code), using
- OOA 2-folding [i] based on linear OA(228, 128, F2, 8) (dual of [128, 100, 9]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(228, 64, F2, 2, 8) (dual of [(64, 2), 100, 9]-NRT-code), using
- linear OOA(2185, 2097150, F2, 4, 17) (dual of [(2097150, 4), 8388415, 18]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2185, 8388600, F2, 17) (dual of [8388600, 8388415, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- OOA 4-folding [i] based on linear OA(2185, 8388600, F2, 17) (dual of [8388600, 8388415, 18]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.