Information on Result #1780368
Digital (167, 206, 10551)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4206, 10551, F4, 39) (dual of [10551, 10345, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(4206, 16400, F4, 39) (dual of [16400, 16194, 40]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4205, 16399, F4, 39) (dual of [16399, 16194, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(36) [i] based on
- linear OA(4204, 16384, F4, 39) (dual of [16384, 16180, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4190, 16384, F4, 37) (dual of [16384, 16194, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(41, 15, F4, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(38) ⊂ Ce(36) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4205, 16399, F4, 39) (dual of [16399, 16194, 40]-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.