Information on Result #1150773
Linear OOA(2147, 1398105, F2, 7, 13) (dual of [(1398105, 7), 9786588, 14]-NRT-code), using OOA stacking with additional row based on linear OOA(2147, 1398106, F2, 6, 13) (dual of [(1398106, 6), 8388489, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(28, 6, F2, 6, 6) (dual of [(6, 6), 28, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(28, 6, F2, 5, 6) (dual of [(6, 5), 22, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,23P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, using
- appending kth column [i] based on linear OOA(28, 6, F2, 5, 6) (dual of [(6, 5), 22, 7]-NRT-code), using
- linear OOA(2139, 1398100, F2, 6, 13) (dual of [(1398100, 6), 8388461, 14]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2139, 8388600, F2, 13) (dual of [8388600, 8388461, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- OOA 6-folding [i] based on linear OA(2139, 8388600, F2, 13) (dual of [8388600, 8388461, 14]-code), using
- linear OOA(28, 6, F2, 6, 6) (dual of [(6, 6), 28, 7]-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.