Information on Result #1312077
Linear OA(844, 4148, F8, 12) (dual of [4148, 4104, 13]-code), using 45 step Varšamov–Edel lengthening with (ri) = (2, 6 times 0, 1, 37 times 0) based on linear OA(841, 4100, F8, 12) (dual of [4100, 4059, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- 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(837, 4096, F8, 11) (dual of [4096, 4059, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(844, 4148, F8, 2, 12) (dual of [(4148, 2), 8252, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(844, 4148, F8, 3, 12) (dual of [(4148, 3), 12400, 13]-NRT-code) | [i] | ||
| 3 | Digital (32, 44, 4148)-net over F8 | [i] | ||
| 4 | Linear OOA(844, 2074, F8, 2, 12) (dual of [(2074, 2), 4104, 13]-NRT-code) | [i] | OOA Folding | |