Information on Result #1131507
Linear OOA(2241, 1400831, F2, 6, 17) (dual of [(1400831, 6), 8404745, 18]-NRT-code), using OOA 3-folding based on linear OOA(2241, 4202493, F2, 2, 17) (dual of [(4202493, 2), 8404745, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(256, 8192, F2, 2, 8) (dual of [(8192, 2), 16328, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(256, 16384, F2, 8) (dual of [16384, 16328, 9]-code), using
- 1 times truncation [i] based on linear OA(257, 16385, F2, 9) (dual of [16385, 16328, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, 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(257, 16385, F2, 9) (dual of [16385, 16328, 10]-code), using
- OOA 2-folding [i] based on linear OA(256, 16384, F2, 8) (dual of [16384, 16328, 9]-code), using
- linear OOA(2185, 4194301, F2, 2, 17) (dual of [(4194301, 2), 8388417, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2185, 8388602, F2, 17) (dual of [8388602, 8388417, 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 2-folding [i] based on linear OA(2185, 8388602, F2, 17) (dual of [8388602, 8388417, 18]-code), using
- linear OOA(256, 8192, F2, 2, 8) (dual of [(8192, 2), 16328, 9]-NRT-code), using
Mode: Constructive and 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.