Information on Result #1715932
Digital (211, 239, 117818)-net over F3, using net defined by OOA based on linear OOA(3239, 117818, F3, 35, 28) (dual of [(117818, 35), 4123391, 29]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3239, 353455, F3, 5, 28) (dual of [(353455, 5), 1767036, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3239, 353455, F3, 4, 28) (dual of [(353455, 4), 1413581, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3239, 398588, F3, 4, 28) (dual of [(398588, 4), 1594113, 29]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3239, 1594352, F3, 28) (dual of [1594352, 1594113, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3239, 1594353, F3, 28) (dual of [1594353, 1594114, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(24) [i] based on
- linear OA(3235, 1594323, F3, 28) (dual of [1594323, 1594088, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3209, 1594323, F3, 25) (dual of [1594323, 1594114, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(34, 30, F3, 2) (dual of [30, 26, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(27) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(3239, 1594353, F3, 28) (dual of [1594353, 1594114, 29]-code), using
- OOA 4-folding [i] based on linear OA(3239, 1594352, F3, 28) (dual of [1594352, 1594113, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(3239, 398588, F3, 4, 28) (dual of [(398588, 4), 1594113, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3239, 353455, F3, 4, 28) (dual of [(353455, 4), 1413581, 29]-NRT-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.