Information on Result #1551958
Linear OOA(766, 4612751, F7, 3, 10) (dual of [(4612751, 3), 13838187, 11]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(766, 4612751, F7, 10) (dual of [4612751, 4612685, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(766, 5764818, F7, 10) (dual of [5764818, 5764752, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- 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(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(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
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
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(766, 2306375, F7, 15, 10) (dual of [(2306375, 15), 34595559, 11]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |