Information on Result #731248
Linear OA(8138, 8232, F8, 32) (dual of [8232, 8094, 33]-code), using trace code based on linear OA(6469, 4116, F64, 32) (dual of [4116, 4047, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(24) [i] based on
- linear OA(6463, 4096, F64, 32) (dual of [4096, 4033, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(6449, 4096, F64, 25) (dual of [4096, 4047, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(646, 20, F64, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,64)), using
- discarding factors / shortening the dual code based on linear OA(646, 64, F64, 6) (dual of [64, 58, 7]-code or 64-arc in PG(5,64)), using
- Reed–Solomon code RS(58,64) [i]
- discarding factors / shortening the dual code based on linear OA(646, 64, F64, 6) (dual of [64, 58, 7]-code or 64-arc in PG(5,64)), 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(8139, 8233, F8, 32) (dual of [8233, 8094, 33]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8138, 4116, F8, 2, 32) (dual of [(4116, 2), 8094, 33]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8138, 2744, F8, 3, 32) (dual of [(2744, 3), 8094, 33]-NRT-code) | [i] | ||