Information on Result #610539
Linear OA(4178, 180, F4, 143) (dual of [180, 2, 144]-code), using repeating each code word 36 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(4178, 180, F4, 142) (dual of [180, 2, 143]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4178, 180, F4, 141) (dual of [180, 2, 142]-code) | [i] | ||
| 3 | Linear OA(4178, 180, F4, 140) (dual of [180, 2, 141]-code) | [i] | ||
| 4 | Linear OA(4178, 180, F4, 139) (dual of [180, 2, 140]-code) | [i] | ||
| 5 | Linear OA(4178, 180, F4, 138) (dual of [180, 2, 139]-code) | [i] | ||
| 6 | Linear OA(4178, 180, F4, 137) (dual of [180, 2, 138]-code) | [i] | ||
| 7 | Linear OA(4177, 179, F4, 142) (dual of [179, 2, 143]-code) | [i] | Truncation | |
| 8 | Linear OA(4176, 178, F4, 141) (dual of [178, 2, 142]-code) | [i] | ||
| 9 | Linear OA(4175, 177, F4, 140) (dual of [177, 2, 141]-code) | [i] | ||
| 10 | Linear OA(4174, 176, F4, 139) (dual of [176, 2, 140]-code) | [i] | ||
| 11 | Linear OA(4172, 174, F4, 137) (dual of [174, 2, 138]-code) | [i] | ||
| 12 | Linear OA(4171, 173, F4, 136) (dual of [173, 2, 137]-code) | [i] | ||
| 13 | Linear OA(4170, 172, F4, 135) (dual of [172, 2, 136]-code) | [i] | ||
| 14 | Linear OA(4169, 171, F4, 134) (dual of [171, 2, 135]-code) | [i] | ||
| 15 | Linear OA(4167, 169, F4, 132) (dual of [169, 2, 133]-code) | [i] | ||
| 16 | Linear OA(4166, 168, F4, 131) (dual of [168, 2, 132]-code) | [i] | ||
| 17 | Linear OA(4165, 167, F4, 130) (dual of [167, 2, 131]-code) | [i] | ||
| 18 | Linear OA(4164, 166, F4, 129) (dual of [166, 2, 130]-code) | [i] | ||
| 19 | Linear OA(4162, 164, F4, 127) (dual of [164, 2, 128]-code) | [i] | ||
| 20 | Linear OA(4161, 163, F4, 126) (dual of [163, 2, 127]-code) | [i] | ||
| 21 | Linear OA(4160, 162, F4, 125) (dual of [162, 2, 126]-code) | [i] | ||
| 22 | Linear OA(4159, 161, F4, 124) (dual of [161, 2, 125]-code) | [i] | ||
| 23 | Linear OA(4157, 159, F4, 122) (dual of [159, 2, 123]-code) | [i] | ||
| 24 | Linear OA(4156, 158, F4, 121) (dual of [158, 2, 122]-code) | [i] | ||
| 25 | Linear OA(4155, 157, F4, 120) (dual of [157, 2, 121]-code) | [i] | ||
| 26 | Linear OA(4154, 156, F4, 119) (dual of [156, 2, 120]-code) | [i] | ||
| 27 | Linear OA(4152, 154, F4, 117) (dual of [154, 2, 118]-code) | [i] | ||
| 28 | Linear OA(4151, 153, F4, 116) (dual of [153, 2, 117]-code) | [i] | ||
| 29 | Linear OOA(4178, 90, F4, 2, 143) (dual of [(90, 2), 2, 144]-NRT-code) | [i] | OOA Folding | |
| 30 | Linear OOA(4178, 60, F4, 3, 143) (dual of [(60, 3), 2, 144]-NRT-code) | [i] | ||