Information on Result #1714900
Digital (109, 131, 2287)-net over F3, using net defined by OOA based on linear OOA(3131, 2287, F3, 28, 22) (dual of [(2287, 28), 63905, 23]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3131, 6862, F3, 4, 22) (dual of [(6862, 4), 27317, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3131, 6862, F3, 2, 22) (dual of [(6862, 2), 13593, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3131, 9852, F3, 2, 22) (dual of [(9852, 2), 19573, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3131, 19704, F3, 22) (dual of [19704, 19573, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3131, 19705, F3, 22) (dual of [19705, 19574, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- linear OA(3127, 19683, F3, 22) (dual of [19683, 19556, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3109, 19683, F3, 19) (dual of [19683, 19574, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(34, 22, F3, 2) (dual of [22, 18, 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(21) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(3131, 19705, F3, 22) (dual of [19705, 19574, 23]-code), using
- OOA 2-folding [i] based on linear OA(3131, 19704, F3, 22) (dual of [19704, 19573, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(3131, 9852, F3, 2, 22) (dual of [(9852, 2), 19573, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3131, 6862, F3, 2, 22) (dual of [(6862, 2), 13593, 23]-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.