Information on Result #639971
Linear OA(8170, 176, F8, 139) (dual of [176, 6, 140]-code), using concatenation of two codes based on
- linear OA(6419, 22, F64, 19) (dual of [22, 3, 20]-code or 22-arc in PG(18,64)), using
- discarding factors / shortening the dual code based on linear OA(6419, 64, F64, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), using
- Reed–Solomon code RS(45,64) [i]
- discarding factors / shortening the dual code based on linear OA(6419, 64, F64, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), using
- linear OA(86, 8, F8, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,8)), using
- Reed–Solomon code RS(2,8) [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8170, 176, F8, 138) (dual of [176, 6, 139]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8170, 176, F8, 137) (dual of [176, 6, 138]-code) | [i] | ||
| 3 | Linear OA(8170, 176, F8, 136) (dual of [176, 6, 137]-code) | [i] | ||
| 4 | Linear OA(8170, 176, F8, 135) (dual of [176, 6, 136]-code) | [i] | ||
| 5 | Linear OA(8171, 177, F8, 139) (dual of [177, 6, 140]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(8172, 178, F8, 139) (dual of [178, 6, 140]-code) | [i] | ||
| 7 | Linear OA(8173, 179, F8, 139) (dual of [179, 6, 140]-code) | [i] | ||
| 8 | Linear OA(8169, 175, F8, 138) (dual of [175, 6, 139]-code) | [i] | Truncation | |
| 9 | Linear OA(8168, 174, F8, 137) (dual of [174, 6, 138]-code) | [i] | ||
| 10 | Linear OA(8167, 173, F8, 136) (dual of [173, 6, 137]-code) | [i] | ||
| 11 | Linear OA(8166, 172, F8, 135) (dual of [172, 6, 136]-code) | [i] | ||
| 12 | Linear OA(8164, 170, F8, 133) (dual of [170, 6, 134]-code) | [i] | ||
| 13 | Linear OA(8163, 169, F8, 132) (dual of [169, 6, 133]-code) | [i] | ||
| 14 | Linear OA(8161, 167, F8, 130) (dual of [167, 6, 131]-code) | [i] | ||
| 15 | Linear OA(8160, 166, F8, 129) (dual of [166, 6, 130]-code) | [i] | ||
| 16 | Linear OA(8159, 165, F8, 128) (dual of [165, 6, 129]-code) | [i] | ||
| 17 | Linear OA(8158, 164, F8, 127) (dual of [164, 6, 128]-code) | [i] | ||
| 18 | Linear OA(8157, 163, F8, 126) (dual of [163, 6, 127]-code) | [i] | ||
| 19 | Linear OA(8153, 159, F8, 122) (dual of [159, 6, 123]-code) | [i] | ||
| 20 | Linear OA(8152, 158, F8, 121) (dual of [158, 6, 122]-code) | [i] | ||
| 21 | Linear OA(8151, 157, F8, 120) (dual of [157, 6, 121]-code) | [i] | ||
| 22 | Linear OA(8149, 155, F8, 118) (dual of [155, 6, 119]-code) | [i] | ||
| 23 | Linear OA(8145, 151, F8, 114) (dual of [151, 6, 115]-code) | [i] | ||
| 24 | Linear OA(8143, 149, F8, 112) (dual of [149, 6, 113]-code) | [i] | ||
| 25 | Linear OA(8142, 148, F8, 111) (dual of [148, 6, 112]-code) | [i] | ||
| 26 | Linear OOA(8170, 88, F8, 2, 139) (dual of [(88, 2), 6, 140]-NRT-code) | [i] | OOA Folding | |