Information on Result #619231
Linear OA(8113, 6562, F81, 7) (dual of [6562, 6549, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound)
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(926, 13124, F9, 7) (dual of [13124, 13098, 8]-code) | [i] | Trace Code | |
| 2 | Linear OA(8142, 13124, F81, 15) (dual of [13124, 13082, 16]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8156, 538004, F81, 15) (dual of [538004, 537948, 16]-code) | [i] | ||
| 4 | Linear OA(8116, 6644, F81, 7) (dual of [6644, 6628, 8]-code) | [i] | ||
| 5 | Linear OA(8117, 13124, F81, 7) (dual of [13124, 13107, 8]-code) | [i] | ||
| 6 | Linear OA(8124, 531522, F81, 7) (dual of [531522, 531498, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 7 | Linear OA(8118, 6726, F81, 7) (dual of [6726, 6708, 8]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(8116, 6566, F81, 7) (dual of [6566, 6550, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 9 | Linear OA(8118, 6567, F81, 9) (dual of [6567, 6549, 10]-code) | [i] | ✔ | |
| 10 | Linear OA(8114, 6567, F81, 7) (dual of [6567, 6553, 8]-code) | [i] | ✔ | |
| 11 | Linear OA(8124, 6573, F81, 11) (dual of [6573, 6549, 12]-code) | [i] | ✔ | |
| 12 | Linear OA(8130, 6579, F81, 13) (dual of [6579, 6549, 14]-code) | [i] | ✔ | |
| 13 | Linear OOA(8113, 3281, F81, 2, 7) (dual of [(3281, 2), 6549, 8]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(8113, 2187, F81, 4, 7) (dual of [(2187, 4), 8735, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 15 | Linear OOA(8113, 2187, F81, 7, 7) (dual of [(2187, 7), 15296, 8]-NRT-code) | [i] | ||