Information on Result #1793683
Digital (95, 112, 2097215)-net over F8, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8112, 2097215, F8, 17) (dual of [2097215, 2097103, 18]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8111, 2097213, F8, 17) (dual of [2097213, 2097102, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(8) [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(850, 2097152, F8, 9) (dual of [2097152, 2097102, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(812, 61, F8, 7) (dual of [61, 49, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(812, 73, F8, 7) (dual of [73, 61, 8]-code), using
- a “DaH†code from Brouwer’s database [i]
- discarding factors / shortening the dual code based on linear OA(812, 73, F8, 7) (dual of [73, 61, 8]-code), using
- construction X applied to Ce(16) ⊂ Ce(8) [i] based on
- linear OA(8111, 2097214, F8, 16) (dual of [2097214, 2097103, 17]-code), using Gilbert–Varšamov bound and bm = 8111 > Vbs−1(k−1) = 242430 806293 718027 037072 910003 956741 500488 002409 053473 017324 342118 693973 857452 895419 567201 562768 [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(8111, 2097213, F8, 17) (dual of [2097213, 2097102, 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.