Information on Result #685606
Linear OA(795, 176, F7, 43) (dual of [176, 81, 44]-code), using construction X applied to Ce(42) ⊂ Ce(40) based on
- linear OA(794, 172, F7, 43) (dual of [172, 78, 44]-code), using an extension Ce(42) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(791, 172, F7, 41) (dual of [172, 81, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(71, 4, F7, 1) (dual of [4, 3, 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 OOA(795, 88, F7, 2, 43) (dual of [(88, 2), 81, 44]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(795, 58, F7, 3, 43) (dual of [(58, 3), 79, 44]-NRT-code) | [i] | ||