Information on Result #1323801
Linear OA(795, 5764845, F7, 13) (dual of [5764845, 5764750, 14]-code), using construction X applied to Ce(12) ⊂ Ce(7) 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(749, 5764801, F7, 8) (dual of [5764801, 5764752, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(76, 44, F7, 4) (dual of [44, 38, 5]-code), using
- a “GraX†code from Grassl’s database [i]
Mode: 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(795, 5764845, F7, 2, 13) (dual of [(5764845, 2), 11529595, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(795, 5764845, F7, 3, 13) (dual of [(5764845, 3), 17294440, 14]-NRT-code) | [i] | ||
| 3 | Digital (82, 95, 5764845)-net over F7 | [i] | ||
| 4 | Linear OOA(795, 2882422, F7, 2, 13) (dual of [(2882422, 2), 5764749, 14]-NRT-code) | [i] | OOA Folding | |