Information on Result #806293
Linear OOA(261, 68, F2, 2, 19) (dual of [(68, 2), 75, 20]-NRT-code), using OOA 2-folding based on linear OA(261, 136, F2, 19) (dual of [136, 75, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] based on
- linear OA(257, 128, F2, 19) (dual of [128, 71, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(250, 128, F2, 15) (dual of [128, 78, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(261, 68, F2, 3, 19) (dual of [(68, 3), 143, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(261, 68, F2, 4, 19) (dual of [(68, 4), 211, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(261, 68, F2, 5, 19) (dual of [(68, 5), 279, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(261, 68, F2, 6, 19) (dual of [(68, 6), 347, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(261, 68, F2, 7, 19) (dual of [(68, 7), 415, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(261, 68, F2, 8, 19) (dual of [(68, 8), 483, 20]-NRT-code) | [i] | ||
| 7 | Digital (42, 61, 68)-net over F2 | [i] | ||