Information on Result #1715058
Digital (118, 141, 2858)-net over F3, using net defined by OOA based on linear OOA(3141, 2858, F3, 28, 23) (dual of [(2858, 28), 79883, 24]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3141, 8575, F3, 4, 23) (dual of [(8575, 4), 34159, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3141, 8576, F3, 4, 23) (dual of [(8576, 4), 34163, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3141, 8576, F3, 2, 23) (dual of [(8576, 2), 17011, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3141, 9853, F3, 2, 23) (dual of [(9853, 2), 19565, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3141, 19706, F3, 23) (dual of [19706, 19565, 24]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3140, 19705, F3, 23) (dual of [19705, 19565, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(19) [i] based on
- linear OA(3136, 19683, F3, 23) (dual of [19683, 19547, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- 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(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(22) ⊂ Ce(19) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3140, 19705, F3, 23) (dual of [19705, 19565, 24]-code), using
- OOA 2-folding [i] based on linear OA(3141, 19706, F3, 23) (dual of [19706, 19565, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(3141, 9853, F3, 2, 23) (dual of [(9853, 2), 19565, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3141, 8576, F3, 2, 23) (dual of [(8576, 2), 17011, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3141, 8576, F3, 4, 23) (dual of [(8576, 4), 34163, 24]-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.