Information on Result #687204
Linear OA(8171, 4105, F8, 49) (dual of [4105, 3934, 50]-code), using construction X applied to Ce(48) ⊂ Ce(45) based on
- linear OA(8169, 4096, F8, 49) (dual of [4096, 3927, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(8161, 4096, F8, 46) (dual of [4096, 3935, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [i]
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(8171, 2052, F8, 2, 49) (dual of [(2052, 2), 3933, 50]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8171, 1368, F8, 3, 49) (dual of [(1368, 3), 3933, 50]-NRT-code) | [i] | ||