Information on Result #687197
Linear OA(833, 4100, F8, 10) (dual of [4100, 4067, 11]-code), using construction X applied to Ce(9) ⊂ Ce(8) based on
- linear OA(833, 4096, F8, 10) (dual of [4096, 4063, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- 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(80, 4, F8, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-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(834, 4101, F8, 10) (dual of [4101, 4067, 11]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(835, 4109, F8, 10) (dual of [4109, 4074, 11]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(836, 4143, F8, 10) (dual of [4143, 4107, 11]-code) | [i] | ||
| 4 | Linear OA(837, 4252, F8, 10) (dual of [4252, 4215, 11]-code) | [i] | ||
| 5 | Linear OOA(833, 2050, F8, 2, 10) (dual of [(2050, 2), 4067, 11]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(833, 1366, F8, 3, 10) (dual of [(1366, 3), 4065, 11]-NRT-code) | [i] | ||
| 7 | Linear OOA(833, 820, F8, 10, 10) (dual of [(820, 10), 8167, 11]-NRT-code) | [i] | OA Folding and Stacking | |