Information on Result #731298
Linear OA(8160, 8202, F8, 40) (dual of [8202, 8042, 41]-code), using trace code based on linear OA(6480, 4101, F64, 40) (dual of [4101, 4021, 41]-code), using
- construction X applied to Ce(39) ⊂ Ce(37) [i] based on
- linear OA(6479, 4096, F64, 40) (dual of [4096, 4017, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(6475, 4096, F64, 38) (dual of [4096, 4021, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(8161, 8203, F8, 40) (dual of [8203, 8042, 41]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8160, 4101, F8, 2, 40) (dual of [(4101, 2), 8042, 41]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8160, 2734, F8, 3, 40) (dual of [(2734, 3), 8042, 41]-NRT-code) | [i] | ||