Information on Result #1312494
Linear OA(8133, 4451, F8, 37) (dual of [4451, 4318, 38]-code), using 347 step Varšamov–Edel lengthening with (ri) = (1, 0, 0, 1, 23 times 0, 1, 107 times 0, 1, 211 times 0) based on linear OA(8129, 4100, F8, 37) (dual of [4100, 3971, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(35) [i] based on
- linear OA(8129, 4096, F8, 37) (dual of [4096, 3967, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(8125, 4096, F8, 36) (dual of [4096, 3971, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [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(8133, 4451, F8, 2, 37) (dual of [(4451, 2), 8769, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8133, 4451, F8, 3, 37) (dual of [(4451, 3), 13220, 38]-NRT-code) | [i] | ||
| 3 | Digital (96, 133, 4451)-net over F8 | [i] | ||
| 4 | Linear OOA(8133, 2225, F8, 2, 37) (dual of [(2225, 2), 4317, 38]-NRT-code) | [i] | OOA Folding | |