Information on Result #616173
Linear OA(9146, 160, F9, 103) (dual of [160, 14, 104]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,101], and minimum distance d ≥ |{−1,0,…,101}|+1 = 104 (BCH-bound)
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(9145, 159, F9, 102) (dual of [159, 14, 103]-code) | [i] | Truncation | |
| 2 | Linear OA(9144, 158, F9, 101) (dual of [158, 14, 102]-code) | [i] | ||
| 3 | Linear OA(9143, 157, F9, 100) (dual of [157, 14, 101]-code) | [i] | ||
| 4 | Linear OA(9142, 156, F9, 99) (dual of [156, 14, 100]-code) | [i] | ||
| 5 | Linear OA(9140, 154, F9, 97) (dual of [154, 14, 98]-code) | [i] | ||
| 6 | Linear OA(9139, 153, F9, 96) (dual of [153, 14, 97]-code) | [i] | ||
| 7 | Linear OA(9138, 152, F9, 95) (dual of [152, 14, 96]-code) | [i] | ||
| 8 | Linear OA(9137, 151, F9, 94) (dual of [151, 14, 95]-code) | [i] | ||
| 9 | Linear OA(9135, 149, F9, 92) (dual of [149, 14, 93]-code) | [i] | ||
| 10 | Linear OA(966, 80, F9, 51) (dual of [80, 14, 52]-code) | [i] | ✔ | Contraction (with Expurgated Narrow-Sense BCH-Code) |
| 11 | Linear OA(9147, 162, F9, 103) (dual of [162, 15, 104]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 12 | Linear OA(9149, 163, F9, 105) (dual of [163, 14, 106]-code) | [i] | ✔ | |
| 13 | Linear OA(9150, 165, F9, 105) (dual of [165, 15, 106]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 14 | Linear OA(9148, 164, F9, 103) (dual of [164, 16, 104]-code) | [i] | ✔ | |
| 15 | Linear OOA(9146, 80, F9, 2, 103) (dual of [(80, 2), 14, 104]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(9146, 53, F9, 3, 103) (dual of [(53, 3), 13, 104]-NRT-code) | [i] | ||