Information on Result #701105
Linear OA(450, 63, F4, 30) (dual of [63, 13, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 31
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
- Contraction (with Expurgated Narrow-Sense BCH-Code) (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(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(455, 71, F4, 31) (dual of [71, 16, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(464, 83, F4, 34) (dual of [83, 19, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(461, 80, F4, 32) (dual of [80, 19, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(462, 78, F4, 34) (dual of [78, 16, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(459, 75, F4, 32) (dual of [75, 16, 33]-code) | [i] | ✔ | |
| 11 | Linear OOA(450, 21, F4, 3, 30) (dual of [(21, 3), 13, 31]-NRT-code) | [i] | OOA Folding | |