Information on Result #1312451
Linear OA(8123, 4429, F8, 34) (dual of [4429, 4306, 35]-code), using 323 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 13 times 0, 1, 37 times 0, 1, 91 times 0, 1, 174 times 0) based on linear OA(8117, 4100, F8, 34) (dual of [4100, 3983, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(32) [i] 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: 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 OOA(8123, 4429, F8, 2, 34) (dual of [(4429, 2), 8735, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8123, 4429, F8, 3, 34) (dual of [(4429, 3), 13164, 35]-NRT-code) | [i] | ||
| 3 | Digital (89, 123, 4429)-net over F8 | [i] | ||
| 4 | Linear OOA(8123, 2214, F8, 2, 34) (dual of [(2214, 2), 4305, 35]-NRT-code) | [i] | OOA Folding | |