Information on Result #731170
Linear OA(894, 8208, F8, 23) (dual of [8208, 8114, 24]-code), using trace code based on linear OA(6447, 4104, F64, 23) (dual of [4104, 4057, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(19) [i] based on
- linear OA(6445, 4096, F64, 23) (dual of [4096, 4051, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(6439, 4096, F64, 20) (dual of [4096, 4057, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(642, 8, F64, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,64)), using
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- Reed–Solomon code RS(62,64) [i]
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), 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(895, 8209, F8, 23) (dual of [8209, 8114, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(894, 4104, F8, 2, 23) (dual of [(4104, 2), 8114, 24]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(894, 2736, F8, 3, 23) (dual of [(2736, 3), 8114, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(894, 746, F8, 23, 23) (dual of [(746, 23), 17064, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |