Information on Result #1792892
Digital (64, 90, 3113)-net over F8, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(890, 3113, F8, 26) (dual of [3113, 3023, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(890, 4101, F8, 26) (dual of [4101, 4011, 27]-code), using
- 1 times code embedding in larger space [i] based on linear OA(889, 4100, F8, 26) (dual of [4100, 4011, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(889, 4096, F8, 26) (dual of [4096, 4007, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(885, 4096, F8, 25) (dual of [4096, 4011, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(80, 4, F8, 0) (dual of [4, 4, 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
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(889, 4100, F8, 26) (dual of [4100, 4011, 27]-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.