Information on Result #610542
Linear OA(4163, 165, F4, 131) (dual of [165, 2, 132]-code), using repeating each code word 33 times based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [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(4163, 165, F4, 130) (dual of [165, 2, 131]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4163, 165, F4, 129) (dual of [165, 2, 130]-code) | [i] | ||
| 3 | Linear OA(4163, 165, F4, 128) (dual of [165, 2, 129]-code) | [i] | ||
| 4 | Linear OA(4163, 165, F4, 127) (dual of [165, 2, 128]-code) | [i] | ||
| 5 | Linear OA(4163, 165, F4, 126) (dual of [165, 2, 127]-code) | [i] | ||
| 6 | Linear OA(4162, 164, F4, 130) (dual of [164, 2, 131]-code) | [i] | Truncation | |
| 7 | Linear OA(4161, 163, F4, 129) (dual of [163, 2, 130]-code) | [i] | ||
| 8 | Linear OA(4160, 162, F4, 128) (dual of [162, 2, 129]-code) | [i] | ||
| 9 | Linear OA(4159, 161, F4, 127) (dual of [161, 2, 128]-code) | [i] | ||
| 10 | Linear OA(4157, 159, F4, 125) (dual of [159, 2, 126]-code) | [i] | ||
| 11 | Linear OA(4156, 158, F4, 124) (dual of [158, 2, 125]-code) | [i] | ||
| 12 | Linear OA(4155, 157, F4, 123) (dual of [157, 2, 124]-code) | [i] | ||
| 13 | Linear OA(4154, 156, F4, 122) (dual of [156, 2, 123]-code) | [i] | ||
| 14 | Linear OA(4152, 154, F4, 120) (dual of [154, 2, 121]-code) | [i] | ||
| 15 | Linear OA(4151, 153, F4, 119) (dual of [153, 2, 120]-code) | [i] | ||
| 16 | Linear OA(4150, 152, F4, 118) (dual of [152, 2, 119]-code) | [i] | ||
| 17 | Linear OA(4149, 151, F4, 117) (dual of [151, 2, 118]-code) | [i] | ||
| 18 | Linear OA(4147, 149, F4, 115) (dual of [149, 2, 116]-code) | [i] | ||
| 19 | Linear OA(4146, 148, F4, 114) (dual of [148, 2, 115]-code) | [i] | ||
| 20 | Linear OA(4145, 147, F4, 113) (dual of [147, 2, 114]-code) | [i] | ||
| 21 | Linear OA(4144, 146, F4, 112) (dual of [146, 2, 113]-code) | [i] | ||
| 22 | Linear OA(4142, 144, F4, 110) (dual of [144, 2, 111]-code) | [i] | ||
| 23 | Linear OA(4141, 143, F4, 109) (dual of [143, 2, 110]-code) | [i] | ||
| 24 | Linear OA(4140, 142, F4, 108) (dual of [142, 2, 109]-code) | [i] | ||
| 25 | Linear OOA(4163, 55, F4, 3, 131) (dual of [(55, 3), 2, 132]-NRT-code) | [i] | OOA Folding | |