Information on Result #687176
Linear OA(8101, 4100, F8, 29) (dual of [4100, 3999, 30]-code), using construction X applied to Ce(28) ⊂ Ce(27) based on
- linear OA(8101, 4096, F8, 29) (dual of [4096, 3995, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(897, 4096, F8, 28) (dual of [4096, 3999, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(8103, 4108, F8, 29) (dual of [4108, 4005, 30]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(8104, 4133, F8, 29) (dual of [4133, 4029, 30]-code) | [i] | ||
| 3 | Linear OA(8105, 4201, F8, 29) (dual of [4201, 4096, 30]-code) | [i] | ||
| 4 | Linear OA(8106, 4351, F8, 29) (dual of [4351, 4245, 30]-code) | [i] | ||
| 5 | Linear OA(8107, 4603, F8, 29) (dual of [4603, 4496, 30]-code) | [i] | ||
| 6 | Linear OA(8108, 4932, F8, 29) (dual of [4932, 4824, 30]-code) | [i] | ||
| 7 | Linear OA(8109, 5306, F8, 29) (dual of [5306, 5197, 30]-code) | [i] | ||
| 8 | Linear OOA(8101, 2050, F8, 2, 29) (dual of [(2050, 2), 3999, 30]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(8101, 1366, F8, 3, 29) (dual of [(1366, 3), 3997, 30]-NRT-code) | [i] | ||