Information on Result #687244
Linear OA(831, 4105, F8, 9) (dual of [4105, 4074, 10]-code), using construction X applied to Ce(8) ⊂ Ce(5) based on
- linear OA(829, 4096, F8, 9) (dual of [4096, 4067, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(821, 4096, F8, 6) (dual of [4096, 4075, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(831, 3579, F8, 2, 9) (dual of [(3579, 2), 7127, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(831, 3579, F8, 3, 9) (dual of [(3579, 3), 10706, 10]-NRT-code) | [i] | ||
| 3 | Digital (22, 31, 3579)-net over F8 | [i] | ||
| 4 | Linear OOA(831, 2052, F8, 2, 9) (dual of [(2052, 2), 4073, 10]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(831, 1368, F8, 3, 9) (dual of [(1368, 3), 4073, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(831, 1026, F8, 9, 9) (dual of [(1026, 9), 9203, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |