Information on Result #610833
Linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using extended quadratic residue code Qe(30,5)
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(515, 30, F5, 10) (dual of [30, 15, 11]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(515, 30, F5, 9) (dual of [30, 15, 10]-code) | [i] | ||
| 3 | Linear OA(516, 31, F5, 11) (dual of [31, 15, 12]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(517, 32, F5, 11) (dual of [32, 15, 12]-code) | [i] | ||
| 5 | Linear OA(518, 33, F5, 11) (dual of [33, 15, 12]-code) | [i] | ||
| 6 | Linear OA(519, 34, F5, 11) (dual of [34, 15, 12]-code) | [i] | ||
| 7 | Linear OA(514, 29, F5, 10) (dual of [29, 15, 11]-code) | [i] | Truncation | |
| 8 | Linear OA(513, 28, F5, 9) (dual of [28, 15, 10]-code) | [i] | ||
| 9 | Linear OA(512, 27, F5, 8) (dual of [27, 15, 9]-code) | [i] | ||
| 10 | Linear OA(588, 656, F5, 23) (dual of [656, 568, 24]-code) | [i] | (u, u+v)-Construction | |
| 11 | Linear OA(5106, 3156, F5, 23) (dual of [3156, 3050, 24]-code) | [i] | ||
| 12 | Linear OA(5124, 15656, F5, 23) (dual of [15656, 15532, 24]-code) | [i] | ||
| 13 | Linear OA(5142, 78156, F5, 23) (dual of [78156, 78014, 24]-code) | [i] | ||
| 14 | Linear OA(584, 655, F5, 22) (dual of [655, 571, 23]-code) | [i] | ||
| 15 | Linear OA(5101, 3155, F5, 22) (dual of [3155, 3054, 23]-code) | [i] | ||
| 16 | Linear OA(5118, 15655, F5, 22) (dual of [15655, 15537, 23]-code) | [i] | ||
| 17 | Linear OA(5135, 78155, F5, 22) (dual of [78155, 78020, 23]-code) | [i] | ||
| 18 | Linear OA(520, 36, F5, 11) (dual of [36, 16, 12]-code) | [i] | ||
| 19 | Linear OA(521, 42, F5, 11) (dual of [42, 21, 12]-code) | [i] | ||
| 20 | Linear OA(523, 54, F5, 11) (dual of [54, 31, 12]-code) | [i] | ||
| 21 | Linear OA(522, 58, F5, 11) (dual of [58, 36, 12]-code) | [i] | ||
| 22 | Linear OA(523, 60, F5, 11) (dual of [60, 37, 12]-code) | [i] | ||
| 23 | Linear OA(585, 151, F5, 36) (dual of [151, 66, 37]-code) | [i] | Construction X with Cyclic Codes | |
| 24 | Linear OA(585, 154, F5, 35) (dual of [154, 69, 36]-code) | [i] | ||
| 25 | Linear OA(580, 159, F5, 32) (dual of [159, 79, 33]-code) | [i] | Construction XX with Cyclic Codes | |
| 26 | Linear OA(583, 161, F5, 33) (dual of [161, 78, 34]-code) | [i] | ||
| 27 | Linear OA(584, 159, F5, 34) (dual of [159, 75, 35]-code) | [i] | ||
| 28 | Linear OA(583, 157, F5, 34) (dual of [157, 74, 35]-code) | [i] | ||
| 29 | Linear OA(587, 159, F5, 35) (dual of [159, 72, 36]-code) | [i] | ||
| 30 | Linear OA(586, 157, F5, 35) (dual of [157, 71, 36]-code) | [i] | ||
| 31 | Linear OA(587, 161, F5, 35) (dual of [161, 74, 36]-code) | [i] | ||
| 32 | Linear OA(589, 161, F5, 36) (dual of [161, 72, 37]-code) | [i] | ||
| 33 | Linear OA(588, 158, F5, 36) (dual of [158, 70, 37]-code) | [i] | ||
| 34 | Linear OA(587, 156, F5, 36) (dual of [156, 69, 37]-code) | [i] | ||
| 35 | Linear OA(593, 162, F5, 38) (dual of [162, 69, 39]-code) | [i] | ||
| 36 | Linear OA(592, 159, F5, 38) (dual of [159, 67, 39]-code) | [i] | ||
| 37 | Linear OA(591, 157, F5, 38) (dual of [157, 66, 39]-code) | [i] | ||
| 38 | Linear OA(5101, 157, F5, 44) (dual of [157, 56, 45]-code) | [i] | ||
| 39 | Linear OA(5105, 161, F5, 45) (dual of [161, 56, 46]-code) | [i] | ||
| 40 | Linear OA(5133, 159, F5, 75) (dual of [159, 26, 76]-code) | [i] | ||
| 41 | Linear OA(5132, 157, F5, 75) (dual of [157, 25, 76]-code) | [i] | ||
| 42 | Linear OA(5132, 155, F5, 76) (dual of [155, 23, 77]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 43 | Linear OA(586, 153, F5, 36) (dual of [153, 67, 37]-code) | [i] | ||
| 44 | Linear OA(576, 155, F5, 31) (dual of [155, 79, 32]-code) | [i] | ||
| 45 | Linear OA(586, 155, F5, 35) (dual of [155, 69, 36]-code) | [i] | ||
| 46 | Linear OA(583, 155, F5, 34) (dual of [155, 72, 35]-code) | [i] | ||
| 47 | Linear OA(580, 155, F5, 33) (dual of [155, 75, 34]-code) | [i] | ||
| 48 | Linear OA(5137, 158, F5, 80) (dual of [158, 21, 81]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 49 | Linear OA(5138, 161, F5, 80) (dual of [161, 23, 81]-code) | [i] | ||
| 50 | Linear OA(5137, 159, F5, 80) (dual of [159, 22, 81]-code) | [i] | ||
| 51 | Linear OA(5136, 157, F5, 80) (dual of [157, 21, 81]-code) | [i] | ||
| 52 | Linear OA(588, 157, F5, 36) (dual of [157, 69, 37]-code) | [i] | ||
| 53 | Linear OA(587, 155, F5, 36) (dual of [155, 68, 37]-code) | [i] | ||
| 54 | Linear OA(519, 35, F5, 11) (dual of [35, 16, 12]-code) | [i] | Construction X with Varšamov Bound | |
| 55 | Linear OA(520, 37, F5, 11) (dual of [37, 17, 12]-code) | [i] | ||
| 56 | Linear OOA(515, 15, F5, 2, 11) (dual of [(15, 2), 15, 12]-NRT-code) | [i] | OOA Folding | |
| 57 | Linear OOA(515, 10, F5, 3, 11) (dual of [(10, 3), 15, 12]-NRT-code) | [i] | ||