Information on Result #714747
Linear OA(868, 94, F8, 38) (dual of [94, 26, 39]-code), using construction XX applied to C1 = C([6,37]), C2 = C([0,27]), C3 = C1 + C2 = C([6,27]), and C∩ = C1 ∩ C2 = C([0,37]) based on
- linear OA(848, 63, F8, 32) (dual of [63, 15, 33]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {6,7,…,37}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(840, 63, F8, 28) (dual of [63, 23, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(851, 63, F8, 38) (dual of [63, 12, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(835, 63, F8, 22) (dual of [63, 28, 23]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {6,7,…,27}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(812, 23, F8, 9) (dual of [23, 11, 10]-code), using
- algebraic-geometric code AG(F,13P) [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,13P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OA(85, 8, F8, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
- Reed–Solomon code RS(3,8) [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(868, 47, F8, 2, 38) (dual of [(47, 2), 26, 39]-NRT-code) | [i] | OOA Folding | |