Information on Result #1312090
Linear OA(848, 4152, F8, 13) (dual of [4152, 4104, 14]-code), using 49 step Varšamov–Edel lengthening with (ri) = (2, 6 times 0, 1, 41 times 0) based on linear OA(845, 4100, F8, 13) (dual of [4100, 4055, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(845, 4096, F8, 13) (dual of [4096, 4051, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(841, 4096, F8, 12) (dual of [4096, 4055, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(848, 4152, F8, 2, 13) (dual of [(4152, 2), 8256, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(848, 4152, F8, 3, 13) (dual of [(4152, 3), 12408, 14]-NRT-code) | [i] | ||
| 3 | Digital (35, 48, 4152)-net over F8 | [i] | ||
| 4 | Linear OOA(848, 2076, F8, 2, 13) (dual of [(2076, 2), 4104, 14]-NRT-code) | [i] | OOA Folding | |