Information on Result #681929
Linear OA(453, 63, F4, 31) (dual of [63, 10, 32]-code), using contraction based on linear OA(4179, 189, F4, 95) (dual of [189, 10, 96]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,92], and minimum distance d ≥ |{−2,−1,…,92}|+1 = 96 (BCH-bound) [i]
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
- Primitive Cyclic Codes (BCH-Bound) (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(459, 78, F4, 31) (dual of [78, 19, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(459, 79, F4, 31) (dual of [79, 20, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(457, 74, F4, 31) (dual of [74, 17, 32]-code) | [i] | ✔ | |
| 4 | Linear OA(458, 75, F4, 31) (dual of [75, 17, 32]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 5 | Linear OA(460, 80, F4, 31) (dual of [80, 20, 32]-code) | [i] | ✔ | |