Information on Result #714804
Linear OA(878, 100, F8, 46) (dual of [100, 22, 47]-code), using construction XX applied to C1 = C([9,46]), C2 = C([1,35]), C3 = C1 + C2 = C([9,35]), and C∩ = C1 ∩ C2 = C([1,46]) based on
- linear OA(851, 63, F8, 38) (dual of [63, 12, 39]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {9,10,…,46}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(847, 63, F8, 35) (dual of [63, 16, 36]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(857, 63, F8, 46) (dual of [63, 6, 47]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(839, 63, F8, 27) (dual of [63, 24, 28]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {9,10,…,35}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(813, 23, F8, 10) (dual of [23, 10, 11]-code), using
- algebraic-geometric code AG(F,12P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- algebraic-geometric code AG(F,12P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OA(88, 14, F8, 7) (dual of [14, 6, 8]-code), using
- extended algebraic-geometric code AGe(F,6P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
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(878, 50, F8, 2, 46) (dual of [(50, 2), 22, 47]-NRT-code) | [i] | OOA Folding | |