Information on Result #1616160
Linear OOA(2258, 2097181, F2, 4, 21) (dual of [(2097181, 4), 8388466, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(227, 31, F2, 4, 10) (dual of [(31, 4), 97, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(227, 31, F2, 2, 10) (dual of [(31, 2), 35, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(227, 62, F2, 10) (dual of [62, 35, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(227, 63, F2, 10) (dual of [63, 36, 11]-code), using
- the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(227, 63, F2, 10) (dual of [63, 36, 11]-code), using
- OOA 2-folding [i] based on linear OA(227, 62, F2, 10) (dual of [62, 35, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(227, 31, F2, 2, 10) (dual of [(31, 2), 35, 11]-NRT-code), using
- linear OOA(2231, 2097150, F2, 4, 21) (dual of [(2097150, 4), 8388369, 22]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2231, 8388600, F2, 21) (dual of [8388600, 8388369, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- OOA 4-folding [i] based on linear OA(2231, 8388600, F2, 21) (dual of [8388600, 8388369, 22]-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.