Information on Result #1442421
Linear OOA(796, 5764848, F7, 2, 13) (dual of [(5764848, 2), 11529600, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(796, 5764848, F7, 13) (dual of [5764848, 5764752, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(7) [i] 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(77, 47, F7, 4) (dual of [47, 40, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 48, F7, 4) (dual of [48, 41, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(77, 48, F7, 4) (dual of [48, 41, 5]-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(796, 2882424, F7, 3, 13) (dual of [(2882424, 3), 8647176, 14]-NRT-code) | [i] | OOA Folding | |