Information on Result #1312478
Linear OA(8129, 4294, F8, 36) (dual of [4294, 4165, 37]-code), using 190 step Varšamov–Edel lengthening with (ri) = (2, 6 times 0, 1, 43 times 0, 1, 138 times 0) based on linear OA(8125, 4100, F8, 36) (dual of [4100, 3975, 37]-code), using
- construction X applied to Ce(35) ⊂ Ce(34) [i] based on
- 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(8121, 4096, F8, 35) (dual of [4096, 3975, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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(8129, 4294, F8, 2, 36) (dual of [(4294, 2), 8459, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8129, 4294, F8, 3, 36) (dual of [(4294, 3), 12753, 37]-NRT-code) | [i] | ||
| 3 | Digital (93, 129, 4294)-net over F8 | [i] | ||
| 4 | Linear OOA(8129, 2147, F8, 2, 36) (dual of [(2147, 2), 4165, 37]-NRT-code) | [i] | OOA Folding | |