Information on Result #685035
Linear OA(775, 2427, F7, 20) (dual of [2427, 2352, 21]-code), using construction X applied to Ce(19) ⊂ Ce(14) based on
- linear OA(769, 2401, F7, 20) (dual of [2401, 2332, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(749, 2401, F7, 15) (dual of [2401, 2352, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(76, 26, F7, 4) (dual of [26, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- 1 times truncation [i] based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-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(776, 2428, F7, 20) (dual of [2428, 2352, 21]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(775, 1213, F7, 2, 20) (dual of [(1213, 2), 2351, 21]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(775, 809, F7, 3, 20) (dual of [(809, 3), 2352, 21]-NRT-code) | [i] | ||