Information on Result #1714432
Digital (103, 123, 4457)-net over F3, using net defined by OOA based on linear OOA(3123, 4457, F3, 25, 20) (dual of [(4457, 25), 111302, 21]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3123, 8915, F3, 5, 20) (dual of [(8915, 5), 44452, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3123, 8915, F3, 2, 20) (dual of [(8915, 2), 17707, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3123, 9853, F3, 2, 20) (dual of [(9853, 2), 19583, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3123, 19706, F3, 20) (dual of [19706, 19583, 21]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3122, 19705, F3, 20) (dual of [19705, 19583, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(16) [i] based on
- linear OA(3118, 19683, F3, 20) (dual of [19683, 19565, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3100, 19683, F3, 17) (dual of [19683, 19583, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(19) ⊂ Ce(16) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3122, 19705, F3, 20) (dual of [19705, 19583, 21]-code), using
- OOA 2-folding [i] based on linear OA(3123, 19706, F3, 20) (dual of [19706, 19583, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(3123, 9853, F3, 2, 20) (dual of [(9853, 2), 19583, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3123, 8915, F3, 2, 20) (dual of [(8915, 2), 17707, 21]-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.