Information on Result #1793600
Digital (93, 110, 2097206)-net over F8, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8110, 2097206, F8, 17) (dual of [2097206, 2097096, 18]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8109, 2097204, F8, 17) (dual of [2097204, 2097095, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(9) [i] based on
- linear OA(899, 2097152, F8, 17) (dual of [2097152, 2097053, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(857, 2097152, F8, 10) (dual of [2097152, 2097095, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(810, 52, F8, 6) (dual of [52, 42, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(810, 74, F8, 6) (dual of [74, 64, 7]-code), using
- a “GraX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(810, 74, F8, 6) (dual of [74, 64, 7]-code), using
- construction X applied to Ce(16) ⊂ Ce(9) [i] based on
- linear OA(8109, 2097205, F8, 16) (dual of [2097205, 2097096, 17]-code), using Gilbert–Varšamov bound and bm = 8109 > Vbs−1(k−1) = 242415 201163 136676 352822 865733 854377 170346 234986 048571 114220 298324 098363 444488 446943 445522 557636 [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(8109, 2097204, F8, 17) (dual of [2097204, 2097095, 18]-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.