Information on Result #612928
Linear OA(444, 64, F4, 26) (dual of [64, 20, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,25], 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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(444, 64, F4, 25) (dual of [64, 20, 26]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(445, 65, F4, 26) (dual of [65, 20, 27]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(442, 62, F4, 24) (dual of [62, 20, 25]-code) | [i] | Truncation | |
| 4 | Linear OA(4108, 128, F4, 53) (dual of [128, 20, 54]-code) | [i] | Repeating Each Code Word | |
| 5 | Linear OA(2152, 192, F2, 53) (dual of [192, 40, 54]-code) | [i] | Concatenation of Two Codes | |
| 6 | Linear OA(456, 89, F4, 26) (dual of [89, 33, 27]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(458, 88, F4, 26) (dual of [88, 30, 27]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(459, 92, F4, 26) (dual of [92, 33, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(459, 94, F4, 25) (dual of [94, 35, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(458, 76, F4, 31) (dual of [76, 18, 32]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(452, 70, F4, 29) (dual of [70, 18, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(455, 77, F4, 28) (dual of [77, 22, 29]-code) | [i] | ✔ | |
| 13 | Linear OA(457, 78, F4, 30) (dual of [78, 21, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(454, 75, F4, 28) (dual of [75, 21, 29]-code) | [i] | ✔ | |
| 15 | Linear OA(450, 71, F4, 27) (dual of [71, 21, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(446, 70, F4, 25) (dual of [70, 24, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(449, 76, F4, 26) (dual of [76, 27, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(446, 73, F4, 24) (dual of [73, 27, 25]-code) | [i] | ✔ | |
| 19 | Linear OA(457, 85, F4, 26) (dual of [85, 28, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(454, 82, F4, 24) (dual of [82, 28, 25]-code) | [i] | ✔ | |
| 21 | Linear OA(457, 86, F4, 26) (dual of [86, 29, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(456, 84, F4, 26) (dual of [84, 28, 27]-code) | [i] | ✔ | |
| 23 | Linear OA(454, 82, F4, 25) (dual of [82, 28, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(461, 96, F4, 26) (dual of [96, 35, 27]-code) | [i] | ✔ | |
| 25 | Linear OA(460, 94, F4, 26) (dual of [94, 34, 27]-code) | [i] | ✔ | |
| 26 | Linear OOA(444, 32, F4, 2, 26) (dual of [(32, 2), 20, 27]-NRT-code) | [i] | OOA Folding | |