Information on Result #700965
Linear OA(428, 63, F4, 13) (dual of [63, 35, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 14
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.
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 BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(458, 93, F4, 25) (dual of [93, 35, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(446, 82, F4, 21) (dual of [82, 36, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(455, 93, F4, 23) (dual of [93, 38, 24]-code) | [i] | ✔ | |
| 4 | Linear OA(432, 70, F4, 14) (dual of [70, 38, 15]-code) | [i] | ✔ | |
| 5 | Linear OA(434, 69, F4, 15) (dual of [69, 35, 16]-code) | [i] | ✔ | |
| 6 | Linear OA(449, 84, F4, 22) (dual of [84, 35, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(453, 88, F4, 23) (dual of [88, 35, 24]-code) | [i] | ✔ | |