Information on Result #687171
Linear OA(8117, 4100, F8, 34) (dual of [4100, 3983, 35]-code), using construction X applied to Ce(33) ⊂ Ce(32) based on
- linear OA(8117, 4096, F8, 34) (dual of [4096, 3979, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(8113, 4096, F8, 33) (dual of [4096, 3983, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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(8118, 4101, F8, 34) (dual of [4101, 3983, 35]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8119, 4106, F8, 34) (dual of [4106, 3987, 35]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(8120, 4121, F8, 34) (dual of [4121, 4001, 35]-code) | [i] | ||
| 4 | Linear OA(8121, 4160, F8, 34) (dual of [4160, 4039, 35]-code) | [i] | ||
| 5 | Linear OA(8122, 4253, F8, 34) (dual of [4253, 4131, 35]-code) | [i] | ||
| 6 | Linear OA(8123, 4429, F8, 34) (dual of [4429, 4306, 35]-code) | [i] | ||
| 7 | Linear OA(8124, 4679, F8, 34) (dual of [4679, 4555, 35]-code) | [i] | ||
| 8 | Linear OA(8125, 4974, F8, 34) (dual of [4974, 4849, 35]-code) | [i] | ||
| 9 | Linear OOA(8117, 2050, F8, 2, 34) (dual of [(2050, 2), 3983, 35]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(8117, 1366, F8, 3, 34) (dual of [(1366, 3), 3981, 35]-NRT-code) | [i] | ||