Information on Result #1780546
Digital (181, 208, 480735)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4208, 480735, F4, 2, 27) (dual of [(480735, 2), 961262, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4208, 524309, F4, 2, 27) (dual of [(524309, 2), 1048410, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4208, 1048618, F4, 27) (dual of [1048618, 1048410, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4208, 1048619, F4, 27) (dual of [1048619, 1048411, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(21) [i] based on
- linear OA(4201, 1048576, F4, 27) (dual of [1048576, 1048375, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(4161, 1048576, F4, 22) (dual of [1048576, 1048415, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(26) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(4208, 1048619, F4, 27) (dual of [1048619, 1048411, 28]-code), using
- OOA 2-folding [i] based on linear OA(4208, 1048618, F4, 27) (dual of [1048618, 1048410, 28]-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.