Information on Result #701024
Linear OA(443, 63, F4, 25) (dual of [63, 20, 26]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 26
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 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(443, 63, F4, 24) (dual of [63, 20, 25]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4106, 126, F4, 51) (dual of [126, 20, 52]-code) | [i] | Repeating Each Code Word | |
| 3 | Linear OA(4105, 124, F4, 51) (dual of [124, 19, 52]-code) | [i] | ||
| 4 | Linear OA(4104, 122, F4, 51) (dual of [122, 18, 52]-code) | [i] | ||
| 5 | Linear OA(4103, 120, F4, 51) (dual of [120, 17, 52]-code) | [i] | ||
| 6 | Linear OA(4102, 118, F4, 51) (dual of [118, 16, 52]-code) | [i] | ||
| 7 | Linear OA(4101, 116, F4, 51) (dual of [116, 15, 52]-code) | [i] | ||
| 8 | Linear OA(4100, 114, F4, 51) (dual of [114, 14, 52]-code) | [i] | ||
| 9 | Linear OA(499, 112, F4, 51) (dual of [112, 13, 52]-code) | [i] | ||
| 10 | Linear OA(498, 110, F4, 51) (dual of [110, 12, 52]-code) | [i] | ||
| 11 | Linear OA(2149, 189, F2, 51) (dual of [189, 40, 52]-code) | [i] | Concatenation of Two Codes | |
| 12 | Linear OA(2148, 186, F2, 51) (dual of [186, 38, 52]-code) | [i] | ||
| 13 | Linear OA(2147, 183, F2, 51) (dual of [183, 36, 52]-code) | [i] | ||
| 14 | Linear OA(2146, 180, F2, 51) (dual of [180, 34, 52]-code) | [i] | ||
| 15 | Linear OA(2145, 177, F2, 51) (dual of [177, 32, 52]-code) | [i] | ||
| 16 | Linear OA(2144, 174, F2, 51) (dual of [174, 30, 52]-code) | [i] | ||
| 17 | Linear OA(2143, 171, F2, 51) (dual of [171, 28, 52]-code) | [i] | ||
| 18 | Linear OA(2142, 168, F2, 51) (dual of [168, 26, 52]-code) | [i] | ||
| 19 | Linear OA(2141, 165, F2, 51) (dual of [165, 24, 52]-code) | [i] | ||
| 20 | Linear OA(455, 85, F4, 24) (dual of [85, 30, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 21 | Linear OA(454, 83, F4, 24) (dual of [83, 29, 25]-code) | [i] | ✔ | |
| 22 | Linear OA(450, 73, F4, 27) (dual of [73, 23, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(456, 79, F4, 29) (dual of [79, 23, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(457, 79, F4, 30) (dual of [79, 22, 31]-code) | [i] | ✔ | |
| 25 | Linear OA(458, 77, F4, 31) (dual of [77, 19, 32]-code) | [i] | ✔ | |
| 26 | Linear OA(458, 78, F4, 31) (dual of [78, 20, 32]-code) | [i] | ✔ | |
| 27 | Linear OA(457, 90, F4, 25) (dual of [90, 33, 26]-code) | [i] | ✔ | |
| 28 | Linear OA(456, 88, F4, 25) (dual of [88, 32, 26]-code) | [i] | ✔ | |
| 29 | Linear OA(454, 83, F4, 25) (dual of [83, 29, 26]-code) | [i] | ✔ | |
| 30 | Linear OOA(443, 31, F4, 2, 25) (dual of [(31, 2), 19, 26]-NRT-code) | [i] | OOA Folding | |
| 31 | Linear OOA(443, 21, F4, 3, 25) (dual of [(21, 3), 20, 26]-NRT-code) | [i] | ||