Information on Result #1052561
Linear OOA(2243, 2097154, F2, 4, 21) (dual of [(2097154, 4), 8388373, 22]-NRT-code), using OOA 2-folding based on linear OOA(2243, 4194308, F2, 2, 21) (dual of [(4194308, 2), 8388373, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(212, 7, F2, 2, 10) (dual of [(7, 2), 2, 11]-NRT-code), using
- 4 step truncation [i] based on linear OOA(216, 9, F2, 2, 14) (dual of [(9, 2), 2, 15]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(24, 3, F2, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,2) [i]
- repeating each code word 3 times [i] based on linear OOA(24, 3, F2, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
- 4 step truncation [i] based on linear OOA(216, 9, F2, 2, 14) (dual of [(9, 2), 2, 15]-NRT-code), using
- linear OOA(2231, 4194301, F2, 2, 21) (dual of [(4194301, 2), 8388371, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2231, 8388602, F2, 21) (dual of [8388602, 8388371, 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 2-folding [i] based on linear OA(2231, 8388602, F2, 21) (dual of [8388602, 8388371, 22]-code), using
- linear OOA(212, 7, F2, 2, 10) (dual of [(7, 2), 2, 11]-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.