Information on Result #641687
Linear OA(9150, 157, F9, 120) (dual of [157, 7, 121]-code), using juxtaposition based on
- linear OA(970, 77, F9, 58) (dual of [77, 7, 59]-code), using
- discarding factors / shortening the dual code based on linear OA(970, 79, F9, 58) (dual of [79, 9, 59]-code), using
- 3 times truncation [i] based on linear OA(973, 82, F9, 61) (dual of [82, 9, 62]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,30], and minimum distance d ≥ |{−30,−29,…,30}|+1 = 62 (BCH-bound) [i]
- 3 times truncation [i] based on linear OA(973, 82, F9, 61) (dual of [82, 9, 62]-code), using
- discarding factors / shortening the dual code based on linear OA(970, 79, F9, 58) (dual of [79, 9, 59]-code), using
- linear OA(973, 80, F9, 61) (dual of [80, 7, 62]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,60], and designed minimum distance d ≥ |I|+1 = 62 [i]
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(9140, 147, F9, 110) (dual of [147, 7, 111]-code) | [i] | Truncation | |
| 2 | Linear OA(9138, 145, F9, 108) (dual of [145, 7, 109]-code) | [i] | ||
| 3 | Linear OA(9136, 143, F9, 106) (dual of [143, 7, 107]-code) | [i] | ||
| 4 | Linear OA(9134, 141, F9, 104) (dual of [141, 7, 105]-code) | [i] | ||
| 5 | Linear OOA(9150, 78, F9, 2, 120) (dual of [(78, 2), 6, 121]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(9150, 52, F9, 3, 120) (dual of [(52, 3), 6, 121]-NRT-code) | [i] | ||