Information on Result #639848
Linear OA(8147, 165, F8, 99) (dual of [165, 18, 100]-code), using concatenation of two codes based on
- linear OA(6424, 33, F64, 24) (dual of [33, 9, 25]-code or 33-arc in PG(23,64)), using
- discarding factors / shortening the dual code based on linear OA(6424, 64, F64, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using
- Reed–Solomon code RS(40,64) [i]
- discarding factors / shortening the dual code based on linear OA(6424, 64, F64, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using
- linear OA(83, 5, F8, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,8) or 5-cap in PG(2,8)), using
- discarding factors / shortening the dual code based on linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), using
- Reed–Solomon code RS(5,8) [i]
- discarding factors / shortening the dual code based on linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), 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(8147, 165, F8, 98) (dual of [165, 18, 99]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8145, 163, F8, 97) (dual of [163, 18, 98]-code) | [i] | Truncation | |
| 3 | Linear OA(8144, 162, F8, 96) (dual of [162, 18, 97]-code) | [i] | ||
| 4 | Linear OA(8143, 161, F8, 95) (dual of [161, 18, 96]-code) | [i] | ||
| 5 | Linear OA(8141, 159, F8, 93) (dual of [159, 18, 94]-code) | [i] | ||
| 6 | Linear OOA(8147, 82, F8, 2, 99) (dual of [(82, 2), 17, 100]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(8147, 55, F8, 3, 99) (dual of [(55, 3), 18, 100]-NRT-code) | [i] | ||