Information on Result #1192030
Digital (106, 123, 1048579)-net over F8, using net defined by OOA based on linear OOA(8123, 1048579, F8, 18, 17) (dual of [(1048579, 18), 18874299, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8123, 4194317, F8, 2, 17) (dual of [(4194317, 2), 8388511, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8123, 4194318, F8, 2, 17) (dual of [(4194318, 2), 8388513, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(810, 17, F8, 2, 8) (dual of [(17, 2), 24, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,25P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- linear OOA(8113, 4194301, F8, 2, 17) (dual of [(4194301, 2), 8388489, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8113, 8388602, F8, 17) (dual of [8388602, 8388489, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(8113, large, F8, 17) (dual of [large, large−113, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8113, large, F8, 17) (dual of [large, large−113, 18]-code), using
- OOA 2-folding [i] based on linear OA(8113, 8388602, F8, 17) (dual of [8388602, 8388489, 18]-code), using
- linear OOA(810, 17, F8, 2, 8) (dual of [(17, 2), 24, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(8123, 4194318, F8, 2, 17) (dual of [(4194318, 2), 8388513, 18]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.