Information on Result #1712724
Digital (73, 83, 560864)-net over F3, using net defined by OOA based on linear OOA(383, 560864, F3, 15, 10) (dual of [(560864, 15), 8412877, 11]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(383, 560865, F3, 5, 10) (dual of [(560865, 5), 2804242, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(383, 560865, F3, 2, 10) (dual of [(560865, 2), 1121647, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(383, 797176, F3, 2, 10) (dual of [(797176, 2), 1594269, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(383, 1594352, F3, 10) (dual of [1594352, 1594269, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(383, 1594353, F3, 10) (dual of [1594353, 1594270, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- linear OA(379, 1594323, F3, 10) (dual of [1594323, 1594244, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(353, 1594323, F3, 7) (dual of [1594323, 1594270, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(9) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(383, 1594353, F3, 10) (dual of [1594353, 1594270, 11]-code), using
- OOA 2-folding [i] based on linear OA(383, 1594352, F3, 10) (dual of [1594352, 1594269, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(383, 797176, F3, 2, 10) (dual of [(797176, 2), 1594269, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(383, 560865, F3, 2, 10) (dual of [(560865, 2), 1121647, 11]-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.