Information on Result #689274
Linear OA(971, 59050, F9, 15) (dual of [59050, 58979, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(982, 59061, F9, 17) (dual of [59061, 58979, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
2 | Linear OA(984, 59060, F9, 19) (dual of [59060, 58976, 20]-code) | [i] | ✔ | |
3 | Linear OA(985, 59064, F9, 19) (dual of [59064, 58979, 20]-code) | [i] | ✔ | |
4 | Linear OA(983, 59060, F9, 18) (dual of [59060, 58977, 19]-code) | [i] | ✔ | |
5 | Linear OA(972, 59061, F9, 15) (dual of [59061, 58989, 16]-code) | [i] | ✔ | |
6 | Linear OA(998, 59077, F9, 21) (dual of [59077, 58979, 22]-code) | [i] | ✔ | |
7 | Linear OA(996, 59066, F9, 20) (dual of [59066, 58970, 21]-code) | [i] | ✔ | |
8 | Linear OA(975, 59074, F9, 15) (dual of [59074, 58999, 16]-code) | [i] | ✔ | |
9 | Linear OA(9113, 59091, F9, 23) (dual of [59091, 58978, 24]-code) | [i] | ✔ | |
10 | Linear OA(9114, 59093, F9, 23) (dual of [59093, 58979, 24]-code) | [i] | ✔ | |
11 | Linear OA(9111, 59090, F9, 22) (dual of [59090, 58979, 23]-code) | [i] | ✔ | |
12 | Linear OA(9127, 59106, F9, 25) (dual of [59106, 58979, 26]-code) | [i] | ✔ | |
13 | Linear OA(9139, 59118, F9, 27) (dual of [59118, 58979, 28]-code) | [i] | ✔ | |
14 | Linear OA(9113, 59092, F9, 23) (dual of [59092, 58979, 24]-code) | [i] | ✔ | |
15 | Linear OA(9112, 59085, F9, 23) (dual of [59085, 58973, 24]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
16 | Linear OA(9111, 59083, F9, 23) (dual of [59083, 58972, 24]-code) | [i] | ✔ | |
17 | Linear OA(9102, 59084, F9, 21) (dual of [59084, 58982, 22]-code) | [i] | ✔ |