Information on Result #1192266
Digital (137, 156, 1864138)-net over F8, using net defined by OOA based on linear OOA(8156, 1864138, F8, 21, 19) (dual of [(1864138, 21), 39146742, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8156, 5592415, F8, 3, 19) (dual of [(5592415, 3), 16777089, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8156, 5592416, F8, 3, 19) (dual of [(5592416, 3), 16777092, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(810, 14, F8, 3, 9) (dual of [(14, 3), 32, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,32P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- linear OOA(8146, 5592402, F8, 3, 19) (dual of [(5592402, 3), 16777060, 20]-NRT-code), using
- trace code [i] based on linear OOA(6473, 2796201, F64, 3, 19) (dual of [(2796201, 3), 8388530, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-code), using
- trace code [i] based on linear OOA(6473, 2796201, F64, 3, 19) (dual of [(2796201, 3), 8388530, 20]-NRT-code), using
- linear OOA(810, 14, F8, 3, 9) (dual of [(14, 3), 32, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(8156, 5592416, F8, 3, 19) (dual of [(5592416, 3), 16777092, 20]-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.