Information on Result #684464
Linear OA(790, 5764818, F7, 13) (dual of [5764818, 5764728, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) based on
- linear OA(789, 5764801, F7, 13) (dual of [5764801, 5764712, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(773, 5764801, F7, 11) (dual of [5764801, 5764728, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(71, 17, F7, 1) (dual of [17, 16, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(790, 5629552, F7, 2, 13) (dual of [(5629552, 2), 11259014, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(790, 5629552, F7, 3, 13) (dual of [(5629552, 3), 16888566, 14]-NRT-code) | [i] | ||
| 3 | Digital (77, 90, 5629552)-net over F7 | [i] | ||
| 4 | Linear OOA(790, 2882409, F7, 2, 13) (dual of [(2882409, 2), 5764728, 14]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(790, 1921606, F7, 3, 13) (dual of [(1921606, 3), 5764728, 14]-NRT-code) | [i] | ||