Information on Result #2244658
Linear OA(514, 29, F5, 10) (dual of [29, 15, 11]-code), using 1 times truncation based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,5) [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(516, 31, F5, 10) (dual of [31, 15, 11]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(517, 32, F5, 10) (dual of [32, 15, 11]-code) | [i] | ||
| 3 | Linear OA(518, 33, F5, 10) (dual of [33, 15, 11]-code) | [i] | ||
| 4 | Linear OA(579, 655, F5, 21) (dual of [655, 576, 22]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(595, 3155, F5, 21) (dual of [3155, 3060, 22]-code) | [i] | ||
| 6 | Linear OA(5111, 15655, F5, 21) (dual of [15655, 15544, 22]-code) | [i] | ||
| 7 | Linear OA(5127, 78155, F5, 21) (dual of [78155, 78028, 22]-code) | [i] | ||
| 8 | Linear OA(5143, 390655, F5, 21) (dual of [390655, 390512, 22]-code) | [i] | ||
| 9 | Linear OA(519, 39, F5, 10) (dual of [39, 20, 11]-code) | [i] | Varšamov–Edel Lengthening | |
| 10 | Linear OA(580, 156, F5, 33) (dual of [156, 76, 34]-code) | [i] | Construction XX with Cyclic Codes | |
| 11 | Linear OA(579, 154, F5, 33) (dual of [154, 75, 34]-code) | [i] | ||
| 12 | Linear OA(582, 154, F5, 34) (dual of [154, 72, 35]-code) | [i] | ||
| 13 | Linear OA(585, 161, F5, 34) (dual of [161, 76, 35]-code) | [i] | ||
| 14 | Linear OA(583, 158, F5, 34) (dual of [158, 75, 35]-code) | [i] | ||
| 15 | Linear OA(586, 158, F5, 35) (dual of [158, 72, 36]-code) | [i] | ||
| 16 | Linear OA(591, 163, F5, 37) (dual of [163, 72, 38]-code) | [i] | ||
| 17 | Linear OA(590, 160, F5, 37) (dual of [160, 70, 38]-code) | [i] | ||
| 18 | Linear OA(589, 158, F5, 37) (dual of [158, 69, 38]-code) | [i] | ||
| 19 | Linear OA(597, 156, F5, 43) (dual of [156, 59, 44]-code) | [i] | ||
| 20 | Linear OA(5101, 158, F5, 44) (dual of [158, 57, 45]-code) | [i] | ||
| 21 | Linear OA(5100, 156, F5, 44) (dual of [156, 56, 45]-code) | [i] | ||
| 22 | Linear OA(5101, 160, F5, 44) (dual of [160, 59, 45]-code) | [i] | ||
| 23 | Linear OA(5106, 163, F5, 45) (dual of [163, 57, 46]-code) | [i] | ||
| 24 | Linear OA(5104, 160, F5, 45) (dual of [160, 56, 46]-code) | [i] | ||
| 25 | Linear OA(5110, 170, F5, 47) (dual of [170, 60, 48]-code) | [i] | ||
| 26 | Linear OA(5107, 167, F5, 45) (dual of [167, 60, 46]-code) | [i] | ||
| 27 | Linear OA(5109, 168, F5, 47) (dual of [168, 59, 48]-code) | [i] | ||
| 28 | Linear OA(5107, 166, F5, 46) (dual of [166, 59, 47]-code) | [i] | ||
| 29 | Linear OA(5107, 163, F5, 47) (dual of [163, 56, 48]-code) | [i] | ||
| 30 | Linear OA(5105, 158, F5, 47) (dual of [158, 53, 48]-code) | [i] | ||
| 31 | Linear OA(5129, 156, F5, 74) (dual of [156, 27, 75]-code) | [i] | ||
| 32 | Linear OA(5132, 158, F5, 75) (dual of [158, 26, 76]-code) | [i] | ||
| 33 | Linear OA(5131, 156, F5, 75) (dual of [156, 25, 76]-code) | [i] | ||
| 34 | Linear OA(5138, 165, F5, 78) (dual of [165, 27, 79]-code) | [i] | ||
| 35 | Linear OA(5135, 162, F5, 76) (dual of [162, 27, 77]-code) | [i] | ||
| 36 | Linear OA(5136, 162, F5, 78) (dual of [162, 26, 79]-code) | [i] | ||
| 37 | Linear OA(5134, 157, F5, 78) (dual of [157, 23, 79]-code) | [i] | ||
| 38 | Linear OA(5128, 154, F5, 74) (dual of [154, 26, 75]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 39 | Linear OA(582, 152, F5, 34) (dual of [152, 70, 35]-code) | [i] | ||
| 40 | Linear OA(579, 152, F5, 33) (dual of [152, 73, 34]-code) | [i] | ||
| 41 | Linear OA(576, 152, F5, 32) (dual of [152, 76, 33]-code) | [i] | ||
| 42 | Linear OA(579, 157, F5, 32) (dual of [157, 78, 33]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 43 | Linear OA(578, 155, F5, 32) (dual of [155, 77, 33]-code) | [i] | ||
| 44 | Linear OA(517, 33, F5, 10) (dual of [33, 16, 11]-code) | [i] | Construction X with Varšamov Bound | |
| 45 | Linear OA(518, 35, F5, 10) (dual of [35, 17, 11]-code) | [i] | ||
| 46 | Linear OA(519, 37, F5, 10) (dual of [37, 18, 11]-code) | [i] | ||
| 47 | Linear OOA(514, 14, F5, 2, 10) (dual of [(14, 2), 14, 11]-NRT-code) | [i] | OOA Folding | |
| 48 | Linear OOA(514, 9, F5, 3, 10) (dual of [(9, 3), 13, 11]-NRT-code) | [i] | ||