Information on Result #701091
Linear OA(453, 63, F4, 31) (dual of [63, 10, 32]-code), using the primitive cyclic code C(A) with length 63 = 43−1, defining set A = {0,1,2,3,5,6,7,9,10,11,13,14,15,21,22,23,26,31,47}, and minimum distance d ≥ |{−4,−3,…,26}|+1 = 32 (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 Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(458, 77, F4, 31) (dual of [77, 19, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(457, 76, F4, 31) (dual of [76, 19, 32]-code) | [i] | ✔ | |
| 3 | Linear OA(462, 79, F4, 33) (dual of [79, 17, 34]-code) | [i] | ✔ | |
| 4 | Linear OA(462, 78, F4, 34) (dual of [78, 16, 35]-code) | [i] | ✔ | |
| 5 | Linear OA(459, 75, F4, 32) (dual of [75, 16, 33]-code) | [i] | ✔ | |