Information on Result #681909
Linear OA(447, 63, F4, 27) (dual of [63, 16, 28]-code), using contraction based on linear OA(4173, 189, F4, 83) (dual of [189, 16, 84]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,80], and minimum distance d ≥ |{−2,−1,…,80}|+1 = 84 (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]
- 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, 68, F4, 30) (dual of [68, 16, 31]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 12 | Linear OA(447, 66, F4, 27) (dual of [66, 19, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(451, 73, F4, 27) (dual of [73, 22, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(453, 78, F4, 27) (dual of [78, 25, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(455, 81, F4, 27) (dual of [81, 26, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(448, 68, F4, 27) (dual of [68, 20, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(471, 88, F4, 39) (dual of [88, 17, 40]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 18 | Linear OA(464, 81, F4, 34) (dual of [81, 17, 35]-code) | [i] | ✔ | |
| 19 | Linear OA(457, 74, F4, 31) (dual of [74, 17, 32]-code) | [i] | ✔ | |
| 20 | Linear OA(452, 69, F4, 30) (dual of [69, 17, 31]-code) | [i] | ✔ | |
| 21 | Linear OA(455, 82, F4, 27) (dual of [82, 27, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(453, 79, F4, 27) (dual of [79, 26, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(451, 74, F4, 27) (dual of [74, 23, 28]-code) | [i] | ✔ | |
| 24 | Linear OA(447, 67, F4, 27) (dual of [67, 20, 28]-code) | [i] | ✔ | |
| 25 | Linear OA(465, 82, F4, 35) (dual of [82, 17, 36]-code) | [i] | ✔ | |
| 26 | Linear OA(458, 75, F4, 31) (dual of [75, 17, 32]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 27 | Linear OA(452, 69, F4, 29) (dual of [69, 17, 30]-code) | [i] | ✔ | |
| 28 | Linear OA(450, 70, F4, 27) (dual of [70, 20, 28]-code) | [i] | ✔ | |
| 29 | Linear OA(452, 75, F4, 27) (dual of [75, 23, 28]-code) | [i] | ✔ | |
| 30 | Linear OA(454, 80, F4, 27) (dual of [80, 26, 28]-code) | [i] | ✔ | |
| 31 | Linear OA(456, 83, F4, 27) (dual of [83, 27, 28]-code) | [i] | ✔ | |