Information on Result #945426
Linear OOA(297, 2741, F2, 3, 14) (dual of [(2741, 3), 8126, 15]-NRT-code), using OOA 3-folding based on linear OA(297, 8223, F2, 14) (dual of [8223, 8126, 15]-code), using
- 1 times truncation [i] based on linear OA(298, 8224, F2, 15) (dual of [8224, 8126, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- linear OA(292, 8192, F2, 15) (dual of [8192, 8100, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(266, 8192, F2, 11) (dual of [8192, 8126, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
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(297, 2741, F2, 4, 14) (dual of [(2741, 4), 10867, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(297, 2741, F2, 5, 14) (dual of [(2741, 5), 13608, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(297, 2741, F2, 6, 14) (dual of [(2741, 6), 16349, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(297, 2741, F2, 7, 14) (dual of [(2741, 7), 19090, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(297, 2741, F2, 8, 14) (dual of [(2741, 8), 21831, 15]-NRT-code) | [i] | ||
| 6 | Digital (83, 97, 2741)-net over F2 | [i] | ||