Information on Result #639924
Linear OA(8158, 168, F8, 119) (dual of [168, 10, 120]-code), using concatenation of two codes based on
- linear OA(6423, 28, F64, 23) (dual of [28, 5, 24]-code or 28-arc in PG(22,64)), using
- discarding factors / shortening the dual code based on linear OA(6423, 64, F64, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), using
- Reed–Solomon code RS(41,64) [i]
- discarding factors / shortening the dual code based on linear OA(6423, 64, F64, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), using
- linear OA(84, 6, F8, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,8)), using
- discarding factors / shortening the dual code based on linear OA(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
- Reed–Solomon code RS(4,8) [i]
- discarding factors / shortening the dual code based on linear OA(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
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(8158, 168, F8, 118) (dual of [168, 10, 119]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8158, 168, F8, 117) (dual of [168, 10, 118]-code) | [i] | ||
| 3 | Linear OA(8158, 168, F8, 116) (dual of [168, 10, 117]-code) | [i] | ||
| 4 | Linear OA(8157, 167, F8, 118) (dual of [167, 10, 119]-code) | [i] | Truncation | |
| 5 | Linear OA(8156, 166, F8, 117) (dual of [166, 10, 118]-code) | [i] | ||
| 6 | Linear OA(8155, 165, F8, 116) (dual of [165, 10, 117]-code) | [i] | ||
| 7 | Linear OA(8154, 164, F8, 115) (dual of [164, 10, 116]-code) | [i] | ||
| 8 | Linear OA(8153, 163, F8, 114) (dual of [163, 10, 115]-code) | [i] | ||
| 9 | Linear OA(8151, 161, F8, 112) (dual of [161, 10, 113]-code) | [i] | ||
| 10 | Linear OA(8149, 159, F8, 110) (dual of [159, 10, 111]-code) | [i] | ||
| 11 | Linear OA(8148, 158, F8, 109) (dual of [158, 10, 110]-code) | [i] | ||
| 12 | Linear OA(8147, 157, F8, 108) (dual of [157, 10, 109]-code) | [i] | ||
| 13 | Linear OA(8144, 154, F8, 105) (dual of [154, 10, 106]-code) | [i] | ||
| 14 | Linear OA(8143, 153, F8, 104) (dual of [153, 10, 105]-code) | [i] | ||
| 15 | Linear OA(8142, 152, F8, 103) (dual of [152, 10, 104]-code) | [i] | ||
| 16 | Linear OA(8141, 151, F8, 102) (dual of [151, 10, 103]-code) | [i] | ||
| 17 | Linear OA(8139, 149, F8, 100) (dual of [149, 10, 101]-code) | [i] | ||
| 18 | Linear OA(8159, 170, F8, 119) (dual of [170, 11, 120]-code) | [i] | Construction X with Varšamov Bound | |
| 19 | Linear OOA(8158, 84, F8, 2, 119) (dual of [(84, 2), 10, 120]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(8158, 56, F8, 3, 119) (dual of [(56, 3), 10, 120]-NRT-code) | [i] | ||