Information on Result #701050
Linear OA(447, 63, F4, 27) (dual of [63, 16, 28]-code), using the primitive cyclic code C(A) with length 63 = 43−1, defining set A = {0,1,2,3,5,6,7,9,10,11,13,14,15,21,22,31,47}, and minimum distance d ≥ |{−4,−3,…,22}|+1 = 28 (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]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4110, 126, F4, 55) (dual of [126, 16, 56]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(4109, 124, F4, 55) (dual of [124, 15, 56]-code) | [i] | ||
| 3 | Linear OA(4108, 122, F4, 55) (dual of [122, 14, 56]-code) | [i] | ||
| 4 | Linear OA(4107, 120, F4, 55) (dual of [120, 13, 56]-code) | [i] | ||
| 5 | Linear OA(4106, 118, F4, 55) (dual of [118, 12, 56]-code) | [i] | ||
| 6 | Linear OA(4105, 116, F4, 55) (dual of [116, 11, 56]-code) | [i] | ||
| 7 | Linear OA(2157, 189, F2, 55) (dual of [189, 32, 56]-code) | [i] | Concatenation of Two Codes | |
| 8 | Linear OA(2156, 186, F2, 55) (dual of [186, 30, 56]-code) | [i] | ||
| 9 | Linear OA(2155, 183, F2, 55) (dual of [183, 28, 56]-code) | [i] | ||
| 10 | Linear OA(2154, 180, F2, 55) (dual of [180, 26, 56]-code) | [i] | ||
| 11 | Linear OA(452, 77, F4, 27) (dual of [77, 25, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 12 | Linear OA(452, 78, F4, 27) (dual of [78, 26, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(451, 76, F4, 27) (dual of [76, 25, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(450, 72, F4, 27) (dual of [72, 22, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(456, 79, F4, 29) (dual of [79, 23, 30]-code) | [i] | ✔ | |
| 16 | Linear OA(457, 79, F4, 30) (dual of [79, 22, 31]-code) | [i] | ✔ | |
| 17 | Linear OA(456, 78, F4, 30) (dual of [78, 22, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(453, 75, F4, 28) (dual of [75, 22, 29]-code) | [i] | ✔ | |