Information on Result #1323799
Linear OA(7105, 5764849, F7, 15) (dual of [5764849, 5764744, 16]-code), using construction X applied to Ce(14) ⊂ Ce(8) 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(757, 5764801, F7, 9) (dual of [5764801, 5764744, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(78, 48, F7, 5) (dual of [48, 40, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(78, 50, F7, 5) (dual of [50, 42, 6]-code), using
- a “Gra†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(78, 50, F7, 5) (dual of [50, 42, 6]-code), using
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 OA(7106, 5764851, F7, 15) (dual of [5764851, 5764745, 16]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OA(7107, 5764853, F7, 15) (dual of [5764853, 5764746, 16]-code) | [i] | ||
| 3 | Linear OA(7108, 5764855, F7, 15) (dual of [5764855, 5764747, 16]-code) | [i] | ||
| 4 | Linear OOA(7105, 2882424, F7, 2, 15) (dual of [(2882424, 2), 5764743, 16]-NRT-code) | [i] | OOA Folding | |