Information on Result #684524
Linear OA(786, 823551, F7, 15) (dual of [823551, 823465, 16]-code), using construction X applied to Ce(14) ⊂ Ce(12) based on
- linear OA(785, 823543, F7, 15) (dual of [823543, 823458, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(778, 823543, F7, 13) (dual of [823543, 823465, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(71, 8, F7, 1) (dual of [8, 7, 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
Mode: Constructive and 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(785, 823550, F7, 14) (dual of [823550, 823465, 15]-code) | [i] | Truncation | |
| 2 | Linear OOA(786, 411775, F7, 2, 15) (dual of [(411775, 2), 823464, 16]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(786, 274517, F7, 3, 15) (dual of [(274517, 3), 823465, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(786, 117650, F7, 15, 15) (dual of [(117650, 15), 1764664, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |