Information on Result #1192194
Digital (73, 92, 3646)-net over F8, using net defined by OOA based on linear OOA(892, 3646, F8, 21, 19) (dual of [(3646, 21), 76474, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(892, 10939, F8, 3, 19) (dual of [(10939, 3), 32725, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(892, 10941, F8, 3, 19) (dual of [(10941, 3), 32731, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(811, 17, F8, 3, 9) (dual of [(17, 3), 40, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,41P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- linear OOA(881, 10924, F8, 3, 19) (dual of [(10924, 3), 32691, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(881, 32772, F8, 19) (dual of [32772, 32691, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(881, 32773, F8, 19) (dual of [32773, 32692, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(881, 32768, F8, 19) (dual of [32768, 32687, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(876, 32768, F8, 18) (dual of [32768, 32692, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(80, 5, F8, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(881, 32773, F8, 19) (dual of [32773, 32692, 20]-code), using
- OOA 3-folding [i] based on linear OA(881, 32772, F8, 19) (dual of [32772, 32691, 20]-code), using
- linear OOA(811, 17, F8, 3, 9) (dual of [(17, 3), 40, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(892, 10941, F8, 3, 19) (dual of [(10941, 3), 32731, 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.