Information on Result #1765795
Digital (144, 172, 8910)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3172, 8910, F3, 2, 28) (dual of [(8910, 2), 17648, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3172, 9859, F3, 2, 28) (dual of [(9859, 2), 19546, 29]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3171, 9859, F3, 2, 28) (dual of [(9859, 2), 19547, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3171, 19718, F3, 28) (dual of [19718, 19547, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(22) [i] based on
- linear OA(3163, 19683, F3, 28) (dual of [19683, 19520, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3136, 19683, F3, 23) (dual of [19683, 19547, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(38, 35, F3, 4) (dual of [35, 27, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
- construction X applied to Ce(27) ⊂ Ce(22) [i] based on
- OOA 2-folding [i] based on linear OA(3171, 19718, F3, 28) (dual of [19718, 19547, 29]-code), using
- 31 times duplication [i] based on linear OOA(3171, 9859, F3, 2, 28) (dual of [(9859, 2), 19547, 29]-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.