Information on Result #1758626
Digital (221, 242, 1198376)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2242, 1198376, F2, 7, 21) (dual of [(1198376, 7), 8388390, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(211, 5, F2, 7, 10) (dual of [(5, 7), 24, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,24P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OOA(2231, 1198371, F2, 7, 21) (dual of [(1198371, 7), 8388366, 22]-NRT-code), using
- OOA 7-folding [i] based on linear OA(2231, 8388597, F2, 21) (dual of [8388597, 8388366, 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 7-folding [i] based on linear OA(2231, 8388597, F2, 21) (dual of [8388597, 8388366, 22]-code), using
- linear OOA(211, 5, F2, 7, 10) (dual of [(5, 7), 24, 11]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.