Information on Result #1187196
Digital (104, 127, 1492)-net over F4, using net defined by OOA based on linear OOA(4127, 1492, F4, 23, 23) (dual of [(1492, 23), 34189, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(4127, 16413, F4, 23) (dual of [16413, 16286, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4127, 16419, F4, 23) (dual of [16419, 16292, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- linear OA(4120, 16384, F4, 23) (dual of [16384, 16264, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(4127, 16419, F4, 23) (dual of [16419, 16292, 24]-code), using
Mode: Constructive and 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (105, 128, 1492)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (106, 129, 1492)-net over F4 | [i] | ||