Information on Result #639777
Linear OA(8172, 200, F8, 110) (dual of [200, 28, 111]-code), using concatenation of two codes based on
- linear OA(6436, 50, F64, 36) (dual of [50, 14, 37]-code or 50-arc in PG(35,64)), using
- discarding factors / shortening the dual code based on linear OA(6436, 64, F64, 36) (dual of [64, 28, 37]-code or 64-arc in PG(35,64)), using
- Reed–Solomon code RS(28,64) [i]
- discarding factors / shortening the dual code based on linear OA(6436, 64, F64, 36) (dual of [64, 28, 37]-code or 64-arc in PG(35,64)), 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, 200, F8, 109) (dual of [200, 28, 110]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8172, 200, F8, 108) (dual of [200, 28, 109]-code) | [i] | ||
| 3 | Linear OA(8173, 201, F8, 110) (dual of [201, 28, 111]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(8171, 199, F8, 109) (dual of [199, 28, 110]-code) | [i] | Truncation | |
| 5 | Linear OA(8170, 198, F8, 108) (dual of [198, 28, 109]-code) | [i] | ||
| 6 | Linear OA(8169, 197, F8, 107) (dual of [197, 28, 108]-code) | [i] | ||
| 7 | Linear OA(8167, 195, F8, 105) (dual of [195, 28, 106]-code) | [i] | ||
| 8 | Linear OOA(8172, 100, F8, 2, 110) (dual of [(100, 2), 28, 111]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(8172, 66, F8, 3, 110) (dual of [(66, 3), 26, 111]-NRT-code) | [i] | ||