Information on Result #1799394
Digital (97, 118, 531482)-net over F9, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9118, 531482, F9, 21) (dual of [531482, 531364, 22]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9116, 531478, F9, 21) (dual of [531478, 531362, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- linear OA(9109, 531441, F9, 21) (dual of [531441, 531332, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(979, 531441, F9, 15) (dual of [531441, 531362, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(97, 37, F9, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- linear OA(9116, 531480, F9, 20) (dual of [531480, 531364, 21]-code), using Gilbert–Varšamov bound and bm = 9116 > Vbs−1(k−1) = 7 206317 853571 147259 324326 736842 662446 122448 018094 642206 782415 107987 926868 684916 623369 761556 302344 119166 330361 [i]
- linear OA(90, 2, F9, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(9116, 531478, F9, 21) (dual of [531478, 531362, 22]-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.