Information on Result #1724888
Digital (32, 41, 8414)-net over F7, using net defined by OOA based on linear OOA(741, 8414, F7, 10, 9) (dual of [(8414, 10), 84099, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(741, 16829, F7, 2, 9) (dual of [(16829, 2), 33617, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(741, 16830, F7, 2, 9) (dual of [(16830, 2), 33619, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(741, 16830, F7, 9) (dual of [16830, 16789, 10]-code), using
- (u, u+v)-construction [i] based on
- linear OA(75, 18, F7, 4) (dual of [18, 13, 5]-code), using
- linear OA(736, 16812, F7, 9) (dual of [16812, 16776, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(736, 16807, F7, 9) (dual of [16807, 16771, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(731, 16807, F7, 8) (dual of [16807, 16776, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(70, 5, F7, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(741, 16830, F7, 9) (dual of [16830, 16789, 10]-code), using
- discarding factors / shortening the dual code based on linear OOA(741, 16830, F7, 2, 9) (dual of [(16830, 2), 33619, 10]-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.