Information on Result #610828
Linear OA(422, 44, F4, 13) (dual of [44, 22, 14]-code), using extended quadratic residue code Qe(44,4)
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(422, 44, F4, 12) (dual of [44, 22, 13]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(423, 45, F4, 13) (dual of [45, 22, 14]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(424, 46, F4, 13) (dual of [46, 22, 14]-code) | [i] | ||
| 4 | Linear OA(425, 47, F4, 13) (dual of [47, 22, 14]-code) | [i] | ||
| 5 | Linear OA(426, 48, F4, 13) (dual of [48, 22, 14]-code) | [i] | ||
| 6 | Linear OA(421, 43, F4, 12) (dual of [43, 22, 13]-code) | [i] | Truncation | |
| 7 | Linear OA(420, 42, F4, 11) (dual of [42, 22, 12]-code) | [i] | ||
| 8 | Linear OA(419, 41, F4, 10) (dual of [41, 22, 11]-code) | [i] | ||
| 9 | Linear OA(418, 40, F4, 9) (dual of [40, 22, 10]-code) | [i] | ||
| 10 | Linear OA(417, 39, F4, 8) (dual of [39, 22, 9]-code) | [i] | ||
| 11 | Linear OA(277, 99, F2, 27) (dual of [99, 22, 28]-code) | [i] | Concatenation of Two Codes | |
| 12 | Linear OA(4105, 115, F4, 61) (dual of [115, 10, 62]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 13 | Linear OA(425, 48, F4, 13) (dual of [48, 23, 14]-code) | [i] | Construction X with Varšamov Bound | |
| 14 | Linear OOA(422, 22, F4, 2, 13) (dual of [(22, 2), 22, 14]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(422, 14, F4, 3, 13) (dual of [(14, 3), 20, 14]-NRT-code) | [i] | ||