Information on Result #685760
Linear OA(744, 116, F7, 20) (dual of [116, 72, 21]-code), using construction X applied to Ce(19) ⊂ Ce(18) based on
- linear OA(744, 115, F7, 20) (dual of [115, 71, 21]-code), using an extension Ce(19) of the narrow-sense BCH-code C(I) with length 114 | 73−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(743, 115, F7, 19) (dual of [115, 72, 20]-code), using an extension Ce(18) of the narrow-sense BCH-code C(I) with length 114 | 73−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 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(744, 116, F7, 19) (dual of [116, 72, 20]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(745, 117, F7, 20) (dual of [117, 72, 21]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(746, 118, F7, 20) (dual of [118, 72, 21]-code) | [i] | ||
| 4 | Linear OOA(744, 58, F7, 2, 20) (dual of [(58, 2), 72, 21]-NRT-code) | [i] | OOA Folding | |