Information on Result #1774317
Digital (94, 106, 3165803)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4106, 3165803, F4, 12) (dual of [3165803, 3165697, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(4106, 4194343, F4, 12) (dual of [4194343, 4194237, 13]-code), using
- 2 times code embedding in larger space [i] based on linear OA(4104, 4194341, F4, 12) (dual of [4194341, 4194237, 13]-code), using
- 1 times truncation [i] based on linear OA(4105, 4194342, F4, 13) (dual of [4194342, 4194237, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- linear OA(4100, 4194304, F4, 13) (dual of [4194304, 4194204, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(467, 4194304, F4, 9) (dual of [4194304, 4194237, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(45, 38, F4, 3) (dual of [38, 33, 4]-code or 38-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- 1 times truncation [i] based on linear OA(4105, 4194342, F4, 13) (dual of [4194342, 4194237, 14]-code), using
- 2 times code embedding in larger space [i] based on linear OA(4104, 4194341, F4, 12) (dual of [4194341, 4194237, 13]-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.