Information on Result #1793895
Digital (96, 117, 262183)-net over F8, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8117, 262183, F8, 21) (dual of [262183, 262066, 22]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8116, 262181, F8, 21) (dual of [262181, 262065, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- linear OA(8109, 262144, F8, 21) (dual of [262144, 262035, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(879, 262144, F8, 15) (dual of [262144, 262065, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(87, 37, F8, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to Ce(20) ⊂ Ce(14) [i] based on
- linear OA(8116, 262182, F8, 20) (dual of [262182, 262066, 21]-code), using Gilbert–Varšamov bound and bm = 8116 > Vbs−1(k−1) = 841225 577927 399353 496156 463638 310786 893012 991560 046145 182004 640653 015003 040084 676041 215473 358640 122424 [i]
- linear OA(80, 1, F8, 0) (dual of [1, 1, 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
- linear OA(8116, 262181, F8, 21) (dual of [262181, 262065, 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.