Information on Result #639751
Linear OA(8172, 208, F8, 104) (dual of [208, 36, 105]-code), using concatenation of two codes based on
- linear OA(6434, 52, F64, 34) (dual of [52, 18, 35]-code or 52-arc in PG(33,64)), using
- discarding factors / shortening the dual code based on linear OA(6434, 64, F64, 34) (dual of [64, 30, 35]-code or 64-arc in PG(33,64)), using
- Reed–Solomon code RS(30,64) [i]
- discarding factors / shortening the dual code based on linear OA(6434, 64, F64, 34) (dual of [64, 30, 35]-code or 64-arc in PG(33,64)), using
- linear OA(82, 4, F8, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,8)), using
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [i]
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), 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(8172, 208, F8, 103) (dual of [208, 36, 104]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8172, 208, F8, 102) (dual of [208, 36, 103]-code) | [i] | ||
| 3 | Linear OA(8173, 209, F8, 104) (dual of [209, 36, 105]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(8171, 207, F8, 103) (dual of [207, 36, 104]-code) | [i] | Truncation | |
| 5 | Linear OA(8170, 206, F8, 102) (dual of [206, 36, 103]-code) | [i] | ||
| 6 | Linear OA(8169, 205, F8, 101) (dual of [205, 36, 102]-code) | [i] | ||
| 7 | Linear OA(8167, 203, F8, 99) (dual of [203, 36, 100]-code) | [i] | ||
| 8 | Linear OOA(8172, 104, F8, 2, 104) (dual of [(104, 2), 36, 105]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(8172, 69, F8, 3, 104) (dual of [(69, 3), 35, 105]-NRT-code) | [i] | ||