Information on Result #1665951
Linear OOA(2170, 1677726, F2, 6, 14) (dual of [(1677726, 6), 10066186, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2170, 1677726, F2, 5, 14) (dual of [(1677726, 5), 8388460, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(29, 6, F2, 5, 7) (dual of [(6, 5), 21, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,22P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, using
- linear OOA(2161, 1677720, F2, 5, 14) (dual of [(1677720, 5), 8388439, 15]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2161, 8388600, F2, 14) (dual of [8388600, 8388439, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- OOA 5-folding [i] based on linear OA(2161, 8388600, F2, 14) (dual of [8388600, 8388439, 15]-code), using
- linear OOA(29, 6, F2, 5, 7) (dual of [(6, 5), 21, 8]-NRT-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.