Information on Result #2248608
Linear OA(7108, 171, F7, 55) (dual of [171, 63, 56]-code), using 2 times truncation based on linear OA(7110, 173, F7, 57) (dual of [173, 63, 58]-code), using
- strength reduction [i] based on linear OA(7110, 173, F7, 58) (dual of [173, 63, 59]-code), using
- construction X applied to Ce(57) ⊂ Ce(56) [i] based on
- linear OA(7110, 172, F7, 58) (dual of [172, 62, 59]-code), using an extension Ce(57) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(7109, 172, F7, 57) (dual of [172, 63, 58]-code), using an extension Ce(56) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [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
- construction X applied to Ce(57) ⊂ Ce(56) [i] based on
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(7108, 57, F7, 3, 55) (dual of [(57, 3), 63, 56]-NRT-code) | [i] | OOA Folding | |