Information on Result #3182079
Digital (121, 135, 74901)-net over F2, using t-expansion based on digital (120, 135, 74901)-net over F2, using
- net defined by OOA [i] based on linear OOA(2135, 74901, F2, 15, 15) (dual of [(74901, 15), 1123380, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(2135, 524308, F2, 15) (dual of [524308, 524173, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- linear OA(2134, 524288, F2, 15) (dual of [524288, 524154, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2115, 524288, F2, 13) (dual of [524288, 524173, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(21, 20, F2, 1) (dual of [20, 19, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- OOA 7-folding and stacking with additional row [i] based on linear OA(2135, 524308, F2, 15) (dual of [524308, 524173, 16]-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 (122, 136, 74901)-net over F2 | [i] | Net Duplication | |
| 2 | Digital (123, 137, 74901)-net over F2 | [i] | ||
| 3 | Digital (124, 138, 74901)-net over F2 | [i] | ||