Information on Result #615734
Linear OA(9101, 59050, F9, 23) (dual of [59050, 58949, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(9113, 59066, F9, 23) (dual of [59066, 58953, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(9114, 59070, F9, 23) (dual of [59070, 58956, 24]-code) | [i] | ||
| 3 | Linear OA(9115, 59078, F9, 23) (dual of [59078, 58963, 24]-code) | [i] | ||
| 4 | Linear OA(9116, 59080, F9, 23) (dual of [59080, 58964, 24]-code) | [i] | ||
| 5 | Linear OA(9117, 59082, F9, 23) (dual of [59082, 58965, 24]-code) | [i] | ||
| 6 | Linear OA(9118, 59091, F9, 23) (dual of [59091, 58973, 24]-code) | [i] | ||
| 7 | Linear OA(9119, 59131, F9, 23) (dual of [59131, 59012, 24]-code) | [i] | ||
| 8 | Linear OA(9120, 59071, F9, 23) (dual of [59071, 58951, 24]-code) | [i] | Generalized (u, u+v)-Construction | |
| 9 | Linear OA(9117, 59068, F9, 23) (dual of [59068, 58951, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(9118, 59070, F9, 23) (dual of [59070, 58952, 24]-code) | [i] | ||
| 11 | Linear OA(9119, 59072, F9, 23) (dual of [59072, 58953, 24]-code) | [i] | ||
| 12 | Linear OA(9120, 59074, F9, 23) (dual of [59074, 58954, 24]-code) | [i] | ||
| 13 | Linear OA(9120, 59076, F9, 23) (dual of [59076, 58956, 24]-code) | [i] | ||
| 14 | Linear OA(9112, 59062, F9, 23) (dual of [59062, 58950, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 15 | Linear OA(9112, 59061, F9, 25) (dual of [59061, 58949, 26]-code) | [i] | ✔ | |
| 16 | Linear OA(9102, 59061, F9, 23) (dual of [59061, 58959, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(9125, 59074, F9, 27) (dual of [59074, 58949, 28]-code) | [i] | ✔ | |
| 18 | Linear OA(9105, 59074, F9, 23) (dual of [59074, 58969, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(9138, 59087, F9, 29) (dual of [59087, 58949, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(9113, 59091, F9, 23) (dual of [59091, 58978, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(9114, 59093, F9, 23) (dual of [59093, 58979, 24]-code) | [i] | ✔ | |
| 22 | Linear OA(9111, 59090, F9, 22) (dual of [59090, 58979, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(9117, 59106, F9, 23) (dual of [59106, 58989, 24]-code) | [i] | ✔ | |
| 24 | Linear OA(9113, 59092, F9, 23) (dual of [59092, 58979, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(9112, 59085, F9, 23) (dual of [59085, 58973, 24]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 26 | Linear OA(9111, 59083, F9, 23) (dual of [59083, 58972, 24]-code) | [i] | ✔ | |
| 27 | Linear OA(9102, 59072, F9, 21) (dual of [59072, 58970, 22]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |