Information on Result #612703
Linear OA(433, 86, F4, 13) (dual of [86, 53, 14]-code), using an extension Ce(12) of the narrow-sense BCH-code C(I) with length 85 | 44−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
Mode: Constructive and 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(433, 86, F4, 2, 13) (dual of [(86, 2), 139, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(433, 86, F4, 3, 13) (dual of [(86, 3), 225, 14]-NRT-code) | [i] | ||
| 3 | Digital (20, 33, 86)-net over F4 | [i] | ||
| 4 | Linear OA(4250, 4183, F4, 49) (dual of [4183, 3933, 50]-code) | [i] | Construction X with Cyclic Codes | |
| 5 | Linear OA(4254, 1108, F4, 59) (dual of [1108, 854, 60]-code) | [i] | ||
| 6 | Linear OA(4244, 1108, F4, 57) (dual of [1108, 864, 58]-code) | [i] | ||
| 7 | Linear OA(4259, 1107, F4, 61) (dual of [1107, 848, 62]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 8 | Linear OA(4259, 1110, F4, 60) (dual of [1110, 851, 61]-code) | [i] | ||
| 9 | Linear OA(4254, 1110, F4, 59) (dual of [1110, 856, 60]-code) | [i] | ||
| 10 | Linear OA(4244, 1110, F4, 56) (dual of [1110, 866, 57]-code) | [i] | ||
| 11 | Linear OA(4239, 1110, F4, 55) (dual of [1110, 871, 56]-code) | [i] | ||
| 12 | Linear OOA(433, 43, F4, 2, 13) (dual of [(43, 2), 53, 14]-NRT-code) | [i] | OOA Folding | |