Information on Result #684587
Linear OA(792, 823586, F7, 14) (dual of [823586, 823494, 15]-code), using construction X applied to Ce(14) ⊂ Ce(7) 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(743, 823543, F7, 8) (dual of [823543, 823500, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), 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(793, 823587, F7, 14) (dual of [823587, 823494, 15]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(792, 411793, F7, 2, 14) (dual of [(411793, 2), 823494, 15]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(792, 117655, F7, 14, 14) (dual of [(117655, 14), 1647078, 15]-NRT-code) | [i] | OA Folding and Stacking | |