Information on Result #687189
Linear OA(861, 4100, F8, 18) (dual of [4100, 4039, 19]-code), using construction X applied to Ce(17) ⊂ Ce(16) based on
- 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(857, 4096, F8, 17) (dual of [4096, 4039, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(862, 4101, F8, 18) (dual of [4101, 4039, 19]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(864, 4108, F8, 18) (dual of [4108, 4044, 19]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(865, 4120, F8, 18) (dual of [4120, 4055, 19]-code) | [i] | ||
| 4 | Linear OA(866, 4154, F8, 18) (dual of [4154, 4088, 19]-code) | [i] | ||
| 5 | Linear OA(867, 4242, F8, 18) (dual of [4242, 4175, 19]-code) | [i] | ||
| 6 | Linear OA(868, 4448, F8, 18) (dual of [4448, 4380, 19]-code) | [i] | ||
| 7 | Linear OA(869, 4834, F8, 18) (dual of [4834, 4765, 19]-code) | [i] | ||
| 8 | Linear OOA(861, 2050, F8, 2, 18) (dual of [(2050, 2), 4039, 19]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(861, 1366, F8, 3, 18) (dual of [(1366, 3), 4037, 19]-NRT-code) | [i] | ||