Information on Result #2235253
Linear OA(414, 29, F4, 10) (dual of [29, 15, 11]-code), using 1 times truncation based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,4) [i]
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(416, 31, F4, 10) (dual of [31, 15, 11]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(417, 32, F4, 10) (dual of [32, 15, 11]-code) | [i] | ||
| 3 | Linear OA(451, 93, F4, 21) (dual of [93, 42, 22]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(490, 1053, F4, 21) (dual of [1053, 963, 22]-code) | [i] | ||
| 5 | Linear OA(4120, 16413, F4, 21) (dual of [16413, 16293, 22]-code) | [i] | ||
| 6 | Linear OA(4135, 65565, F4, 21) (dual of [65565, 65430, 22]-code) | [i] | ||
| 7 | Linear OA(4150, 262173, F4, 21) (dual of [262173, 262023, 22]-code) | [i] | ||
| 8 | Linear OA(4165, 1048605, F4, 21) (dual of [1048605, 1048440, 22]-code) | [i] | ||
| 9 | Linear OA(4180, 4194333, F4, 21) (dual of [4194333, 4194153, 22]-code) | [i] | ||
| 10 | Linear OA(257, 87, F2, 21) (dual of [87, 30, 22]-code) | [i] | Concatenation of Two Codes | |
| 11 | Linear OA(255, 81, F2, 21) (dual of [81, 26, 22]-code) | [i] | ||
| 12 | Linear OA(254, 78, F2, 21) (dual of [78, 24, 22]-code) | [i] | ||
| 13 | Linear OA(253, 75, F2, 21) (dual of [75, 22, 22]-code) | [i] | ||
| 14 | Linear OA(252, 72, F2, 21) (dual of [72, 20, 22]-code) | [i] | ||
| 15 | Linear OOA(286, 58, F2, 2, 32) (dual of [(58, 2), 30, 33]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 16 | Linear OOA(284, 56, F2, 2, 32) (dual of [(56, 2), 28, 33]-NRT-code) | [i] | ||
| 17 | Linear OOA(282, 54, F2, 2, 32) (dual of [(54, 2), 26, 33]-NRT-code) | [i] | ||
| 18 | Linear OOA(280, 52, F2, 2, 32) (dual of [(52, 2), 24, 33]-NRT-code) | [i] | ||
| 19 | Linear OOA(278, 50, F2, 2, 32) (dual of [(50, 2), 22, 33]-NRT-code) | [i] | ||
| 20 | Linear OOA(276, 48, F2, 2, 32) (dual of [(48, 2), 20, 33]-NRT-code) | [i] | ||
| 21 | Linear OOA(274, 46, F2, 2, 32) (dual of [(46, 2), 18, 33]-NRT-code) | [i] | ||
| 22 | Linear OOA(272, 44, F2, 2, 32) (dual of [(44, 2), 16, 33]-NRT-code) | [i] | ||
| 23 | Linear OOA(2120, 69, F2, 2, 54) (dual of [(69, 2), 18, 55]-NRT-code) | [i] | ||
| 24 | Linear OOA(2116, 66, F2, 2, 54) (dual of [(66, 2), 16, 55]-NRT-code) | [i] | ||
| 25 | Linear OOA(2196, 72, F2, 3, 87) (dual of [(72, 3), 20, 88]-NRT-code) | [i] | ||
| 26 | Linear OA(457, 89, F4, 25) (dual of [89, 32, 26]-code) | [i] | Construction X with Cyclic Codes | |
| 27 | Linear OA(458, 88, F4, 26) (dual of [88, 30, 27]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 28 | Linear OA(452, 91, F4, 22) (dual of [91, 39, 23]-code) | [i] | ||
| 29 | Linear OOA(414, 14, F4, 2, 10) (dual of [(14, 2), 14, 11]-NRT-code) | [i] | OOA Folding | |
| 30 | Linear OOA(414, 9, F4, 3, 10) (dual of [(9, 3), 13, 11]-NRT-code) | [i] | ||