Information on Result #618534
Linear OA(4923, 2401, F49, 12) (dual of [2401, 2378, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(746, 4802, F7, 12) (dual of [4802, 4756, 13]-code) | [i] | Trace Code | |
| 2 | Linear OA(4929, 2451, F49, 12) (dual of [2451, 2422, 13]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4930, 2454, F49, 12) (dual of [2454, 2424, 13]-code) | [i] | ||
| 4 | Linear OA(4931, 2456, F49, 12) (dual of [2456, 2425, 13]-code) | [i] | ||
| 5 | Linear OA(4932, 2501, F49, 12) (dual of [2501, 2469, 13]-code) | [i] | ||
| 6 | Linear OA(4932, 2411, F49, 12) (dual of [2411, 2379, 13]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(4925, 2403, F49, 13) (dual of [2403, 2378, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(4923, 2403, F49, 12) (dual of [2403, 2380, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(4928, 2406, F49, 14) (dual of [2406, 2378, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(4924, 2406, F49, 12) (dual of [2406, 2382, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(4931, 2409, F49, 15) (dual of [2409, 2378, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(4925, 2409, F49, 12) (dual of [2409, 2384, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(4934, 2412, F49, 16) (dual of [2412, 2378, 17]-code) | [i] | ✔ | |
| 14 | Linear OA(4926, 2412, F49, 12) (dual of [2412, 2386, 13]-code) | [i] | ✔ | |
| 15 | Linear OA(4937, 2415, F49, 17) (dual of [2415, 2378, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(4927, 2415, F49, 12) (dual of [2415, 2388, 13]-code) | [i] | ✔ | |
| 17 | Linear OA(4940, 2418, F49, 18) (dual of [2418, 2378, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(4928, 2418, F49, 12) (dual of [2418, 2390, 13]-code) | [i] | ✔ | |
| 19 | Linear OA(4943, 2421, F49, 19) (dual of [2421, 2378, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(4946, 2424, F49, 20) (dual of [2424, 2378, 21]-code) | [i] | ✔ | |
| 21 | Linear OA(4949, 2427, F49, 21) (dual of [2427, 2378, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(4952, 2430, F49, 22) (dual of [2430, 2378, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(4955, 2433, F49, 23) (dual of [2433, 2378, 24]-code) | [i] | ✔ | |
| 24 | Linear OOA(4923, 400, F49, 12, 12) (dual of [(400, 12), 4777, 13]-NRT-code) | [i] | OA Folding and Stacking | |