Information on Result #639974
Linear OA(8156, 162, F8, 127) (dual of [162, 6, 128]-code), using concatenation of two codes based on
- linear OA(6415, 18, F64, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,64)), using
- discarding factors / shortening the dual code based on linear OA(6415, 64, F64, 15) (dual of [64, 49, 16]-code or 64-arc in PG(14,64)), using
- Reed–Solomon code RS(49,64) [i]
- discarding factors / shortening the dual code based on linear OA(6415, 64, F64, 15) (dual of [64, 49, 16]-code or 64-arc in PG(14,64)), using
- linear OA(87, 9, F8, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,8)), using
- extended Reed–Solomon code RSe(2,8) [i]
- Simplex code S(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(8156, 162, F8, 126) (dual of [162, 6, 127]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8156, 162, F8, 125) (dual of [162, 6, 126]-code) | [i] | ||
| 3 | Linear OA(8155, 161, F8, 126) (dual of [161, 6, 127]-code) | [i] | Truncation | |
| 4 | Linear OA(8153, 159, F8, 124) (dual of [159, 6, 125]-code) | [i] | ||
| 5 | Linear OA(8152, 158, F8, 123) (dual of [158, 6, 124]-code) | [i] | ||
| 6 | Linear OA(8151, 157, F8, 122) (dual of [157, 6, 123]-code) | [i] | ||
| 7 | Linear OA(8150, 156, F8, 121) (dual of [156, 6, 122]-code) | [i] | ||
| 8 | Linear OA(8149, 155, F8, 120) (dual of [155, 6, 121]-code) | [i] | ||
| 9 | Linear OA(8145, 151, F8, 116) (dual of [151, 6, 117]-code) | [i] | ||
| 10 | Linear OA(8144, 150, F8, 115) (dual of [150, 6, 116]-code) | [i] | ||
| 11 | Linear OA(8143, 149, F8, 114) (dual of [149, 6, 115]-code) | [i] | ||
| 12 | Linear OA(8142, 148, F8, 113) (dual of [148, 6, 114]-code) | [i] | ||
| 13 | Linear OA(8139, 145, F8, 110) (dual of [145, 6, 111]-code) | [i] | ||
| 14 | Linear OA(8137, 143, F8, 108) (dual of [143, 6, 109]-code) | [i] | ||
| 15 | Linear OA(8135, 141, F8, 106) (dual of [141, 6, 107]-code) | [i] | ||
| 16 | Linear OOA(8156, 81, F8, 2, 127) (dual of [(81, 2), 6, 128]-NRT-code) | [i] | OOA Folding | |
| 17 | Linear OOA(8156, 54, F8, 3, 127) (dual of [(54, 3), 6, 128]-NRT-code) | [i] | ||