Information on Result #701079
Linear OA(450, 63, F4, 30) (dual of [63, 13, 31]-code), using the primitive cyclic code C(A) with length 63 = 43−1, defining set A = {0,1,2,3,5,6,7,9,10,11,13,14,15,21,22,23,31,47}, and minimum distance d ≥ |{−4,−3,…,25}|+1 = 31 (BCH-bound)
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Contraction (with Expurgated Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4113, 126, F4, 61) (dual of [126, 13, 62]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(4112, 124, F4, 61) (dual of [124, 12, 62]-code) | [i] | ||
| 3 | Linear OA(4111, 122, F4, 61) (dual of [122, 11, 62]-code) | [i] | ||
| 4 | Linear OA(2163, 189, F2, 61) (dual of [189, 26, 62]-code) | [i] | Concatenation of Two Codes | |
| 5 | Linear OA(2162, 186, F2, 61) (dual of [186, 24, 62]-code) | [i] | ||
| 6 | Linear OA(456, 79, F4, 29) (dual of [79, 23, 30]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(457, 79, F4, 30) (dual of [79, 22, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(458, 83, F4, 30) (dual of [83, 25, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(455, 80, F4, 28) (dual of [80, 25, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(454, 76, F4, 28) (dual of [76, 22, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(456, 78, F4, 30) (dual of [78, 22, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(453, 75, F4, 28) (dual of [75, 22, 29]-code) | [i] | ✔ | |
| 13 | Linear OA(458, 77, F4, 31) (dual of [77, 19, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(457, 76, F4, 31) (dual of [76, 19, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(464, 83, F4, 34) (dual of [83, 19, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(461, 80, F4, 32) (dual of [80, 19, 33]-code) | [i] | ✔ | |
| 17 | Linear OOA(450, 21, F4, 3, 30) (dual of [(21, 3), 13, 31]-NRT-code) | [i] | OOA Folding | |