Information on Result #615702
Linear OA(991, 59050, F9, 21) (dual of [59050, 58959, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(9102, 59066, F9, 21) (dual of [59066, 58964, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(9103, 59070, F9, 21) (dual of [59070, 58967, 22]-code) | [i] | ||
| 3 | Linear OA(9104, 59078, F9, 21) (dual of [59078, 58974, 22]-code) | [i] | ||
| 4 | Linear OA(9105, 59080, F9, 21) (dual of [59080, 58975, 22]-code) | [i] | ||
| 5 | Linear OA(9106, 59082, F9, 21) (dual of [59082, 58976, 22]-code) | [i] | ||
| 6 | Linear OA(9107, 59091, F9, 21) (dual of [59091, 58984, 22]-code) | [i] | ||
| 7 | Linear OA(9108, 59131, F9, 21) (dual of [59131, 59023, 22]-code) | [i] | ||
| 8 | Linear OA(9107, 59068, F9, 21) (dual of [59068, 58961, 22]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(9108, 59071, F9, 21) (dual of [59071, 58963, 22]-code) | [i] | ||
| 10 | Linear OA(9101, 59061, F9, 21) (dual of [59061, 58960, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 11 | Linear OA(9102, 59061, F9, 23) (dual of [59061, 58959, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(992, 59061, F9, 21) (dual of [59061, 58969, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(9115, 59074, F9, 25) (dual of [59074, 58959, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(998, 59077, F9, 21) (dual of [59077, 58979, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(996, 59066, F9, 20) (dual of [59066, 58970, 21]-code) | [i] | ✔ | |
| 16 | Linear OA(9128, 59087, F9, 27) (dual of [59087, 58959, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(9103, 59091, F9, 21) (dual of [59091, 58988, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(9104, 59093, F9, 21) (dual of [59093, 58989, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(9101, 59090, F9, 20) (dual of [59090, 58989, 21]-code) | [i] | ✔ | |
| 20 | Linear OA(9144, 59103, F9, 29) (dual of [59103, 58959, 30]-code) | [i] | ✔ | |
| 21 | Linear OA(9141, 59091, F9, 28) (dual of [59091, 58950, 29]-code) | [i] | ✔ | |
| 22 | Linear OA(9142, 59101, F9, 28) (dual of [59101, 58959, 29]-code) | [i] | ✔ | |
| 23 | Linear OA(9107, 59106, F9, 21) (dual of [59106, 58999, 22]-code) | [i] | ✔ | |
| 24 | Linear OA(9103, 59092, F9, 21) (dual of [59092, 58989, 22]-code) | [i] | ✔ | |
| 25 | Linear OA(9102, 59084, F9, 21) (dual of [59084, 58982, 22]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |