Information on Result #685129
Linear OA(773, 485, F7, 23) (dual of [485, 412, 24]-code), using construction X applied to Ce(22) ⊂ Ce(21) based on
- linear OA(773, 481, F7, 23) (dual of [481, 408, 24]-code), using an extension Ce(22) of the narrow-sense BCH-code C(I) with length 480 | 74−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(769, 481, F7, 22) (dual of [481, 412, 23]-code), using an extension Ce(21) of the narrow-sense BCH-code C(I) with length 480 | 74−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(70, 4, F7, 0) (dual of [4, 4, 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 OOA(773, 242, F7, 2, 23) (dual of [(242, 2), 411, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(773, 161, F7, 3, 23) (dual of [(161, 3), 410, 24]-NRT-code) | [i] | ||