Information on Result #684483
Linear OA(7101, 5764837, F7, 14) (dual of [5764837, 5764736, 15]-code), using construction X applied to Ce(14) ⊂ Ce(9) based on
- linear OA(797, 5764801, F7, 15) (dual of [5764801, 5764704, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(765, 5764801, F7, 10) (dual of [5764801, 5764736, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(74, 36, F7, 3) (dual of [36, 32, 4]-code or 36-cap in PG(3,7)), 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(7101, 5764837, F7, 2, 14) (dual of [(5764837, 2), 11529573, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7101, 5764837, F7, 3, 14) (dual of [(5764837, 3), 17294410, 15]-NRT-code) | [i] | ||
| 3 | Digital (87, 101, 5764837)-net over F7 | [i] | ||
| 4 | Linear OOA(7101, 2882418, F7, 2, 14) (dual of [(2882418, 2), 5764735, 15]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(7101, 1921612, F7, 3, 14) (dual of [(1921612, 3), 5764735, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(7101, 823548, F7, 14, 14) (dual of [(823548, 14), 11529571, 15]-NRT-code) | [i] | OA Folding and Stacking | |