Information on Result #844915
Linear OOA(8103, 2065, F8, 2, 27) (dual of [(2065, 2), 4027, 28]-NRT-code), using OOA 2-folding based on linear OA(8103, 4130, F8, 27) (dual of [4130, 4027, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(19) [i] based on
- linear OA(893, 4096, F8, 27) (dual of [4096, 4003, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(869, 4096, F8, 20) (dual of [4096, 4027, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(810, 34, F8, 6) (dual of [34, 24, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(810, 39, F8, 6) (dual of [39, 29, 7]-code), 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 OOA(8105, 2066, F8, 2, 27) (dual of [(2066, 2), 4027, 28]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8104, 2065, F8, 2, 27) (dual of [(2065, 2), 4026, 28]-NRT-code) | [i] | OOA Duplication | |