Information on Result #1771336
Digital (213, 239, 956596)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3239, 956596, F3, 5, 26) (dual of [(956596, 5), 4782741, 27]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3239, 4782980, F3, 26) (dual of [4782980, 4782741, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3239, 4782983, F3, 26) (dual of [4782983, 4782744, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(3239, 4782969, F3, 26) (dual of [4782969, 4782730, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3225, 4782969, F3, 25) (dual of [4782969, 4782744, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(30, 14, F3, 0) (dual of [14, 14, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(3239, 4782983, F3, 26) (dual of [4782983, 4782744, 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.