Information on Result #684529
Linear OA(750, 823550, F7, 9) (dual of [823550, 823500, 10]-code), using construction X applied to Ce(8) ⊂ Ce(7) based on
- linear OA(750, 823543, F7, 9) (dual of [823543, 823493, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(70, 7, F7, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-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(756, 823592, F7, 9) (dual of [823592, 823536, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(756, 823594, F7, 9) (dual of [823594, 823538, 10]-code) | [i] | ||
| 3 | Linear OOA(750, 411775, F7, 2, 9) (dual of [(411775, 2), 823500, 10]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(750, 274516, F7, 3, 9) (dual of [(274516, 3), 823498, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(750, 205887, F7, 9, 9) (dual of [(205887, 9), 1852933, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |