Information on Result #1552673
Linear OOA(789, 5764849, F7, 3, 12) (dual of [(5764849, 3), 17294458, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(789, 5764849, F7, 12) (dual of [5764849, 5764760, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(5) [i] based on
- linear OA(781, 5764801, F7, 12) (dual of [5764801, 5764720, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(741, 5764801, F7, 6) (dual of [5764801, 5764760, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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, k and s, k and t, m and s, m 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(789, 2882424, F7, 15, 12) (dual of [(2882424, 15), 43236271, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |