Information on Result #2212737
Linear OA(875, 82, F8, 59) (dual of [82, 7, 60]-code), using strength reduction based on linear OA(875, 82, F8, 60) (dual of [82, 7, 61]-code), using
- construction X applied to C([0,42]) ⊂ C({1,2,3,4,5,6,7,9,11,12,13,14,17,18,25,26,27,33,34,35,36,42}) [i] based on
- linear OA(870, 73, F8, 63) (dual of [73, 3, 64]-code), using the expurgated narrow-sense BCH-code C(I) with length 73 | 83−1, defining interval I = [0,42], and minimum distance d ≥ |{−20,−19,…,42}|+1 = 64 (BCH-bound) [i]
- linear OA(866, 73, F8, 54) (dual of [73, 7, 55]-code), using the cyclic code C(A) with length 73 | 83−1, defining set A = {1,2,3,4,5,6,7,9,11,12,13,14,17,18,25,26,27,33,34,35,36,42}, and minimum distance d ≥ |{−9,12,33,…,9}|+1 = 55 (BCH-bound) [i]
- linear OA(85, 9, F8, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,8)), using
- extended Reed–Solomon code RSe(4,8) [i]
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(875, 41, F8, 2, 59) (dual of [(41, 2), 7, 60]-NRT-code) | [i] | OOA Folding | |