Information on Result #687188
Linear OA(865, 4100, F8, 19) (dual of [4100, 4035, 20]-code), using construction X applied to Ce(18) ⊂ Ce(17) based on
- linear OA(865, 4096, F8, 19) (dual of [4096, 4031, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(861, 4096, F8, 18) (dual of [4096, 4035, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(868, 4111, F8, 19) (dual of [4111, 4043, 20]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(869, 4129, F8, 19) (dual of [4129, 4060, 20]-code) | [i] | ||
| 3 | Linear OA(870, 4179, F8, 19) (dual of [4179, 4109, 20]-code) | [i] | ||
| 4 | Linear OA(871, 4304, F8, 19) (dual of [4304, 4233, 20]-code) | [i] | ||
| 5 | Linear OA(872, 4570, F8, 19) (dual of [4570, 4498, 20]-code) | [i] | ||
| 6 | Linear OA(873, 5010, F8, 19) (dual of [5010, 4937, 20]-code) | [i] | ||
| 7 | Linear OOA(865, 2050, F8, 2, 19) (dual of [(2050, 2), 4035, 20]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(865, 1366, F8, 3, 19) (dual of [(1366, 3), 4033, 20]-NRT-code) | [i] | ||