Information on Result #639923
Linear OA(8162, 174, F8, 119) (dual of [174, 12, 120]-code), using concatenation of two codes based on
- linear OA(6423, 29, F64, 23) (dual of [29, 6, 24]-code or 29-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(8162, 174, F8, 118) (dual of [174, 12, 119]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8162, 174, F8, 117) (dual of [174, 12, 118]-code) | [i] | ||
| 3 | Linear OA(8162, 174, F8, 116) (dual of [174, 12, 117]-code) | [i] | ||
| 4 | Linear OA(8161, 173, F8, 118) (dual of [173, 12, 119]-code) | [i] | Truncation | |
| 5 | Linear OA(8160, 172, F8, 117) (dual of [172, 12, 118]-code) | [i] | ||
| 6 | Linear OA(8159, 171, F8, 116) (dual of [171, 12, 117]-code) | [i] | ||
| 7 | Linear OA(8157, 169, F8, 114) (dual of [169, 12, 115]-code) | [i] | ||
| 8 | Linear OA(8155, 167, F8, 112) (dual of [167, 12, 113]-code) | [i] | ||
| 9 | Linear OA(8154, 166, F8, 111) (dual of [166, 12, 112]-code) | [i] | ||
| 10 | Linear OA(8152, 164, F8, 109) (dual of [164, 12, 110]-code) | [i] | ||
| 11 | Linear OA(8151, 163, F8, 108) (dual of [163, 12, 109]-code) | [i] | ||
| 12 | Linear OA(8149, 161, F8, 106) (dual of [161, 12, 107]-code) | [i] | ||
| 13 | Linear OA(8147, 159, F8, 104) (dual of [159, 12, 105]-code) | [i] | ||
| 14 | Linear OOA(8162, 87, F8, 2, 119) (dual of [(87, 2), 12, 120]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(8162, 58, F8, 3, 119) (dual of [(58, 3), 12, 120]-NRT-code) | [i] | ||