Information on Result #714632
Linear OA(863, 97, F8, 32) (dual of [97, 34, 33]-code), using construction XX applied to C1 = C([53,17]), C2 = C([0,21]), C3 = C1 + C2 = C([0,17]), and C∩ = C1 ∩ C2 = C([53,21]) based on
- linear OA(841, 63, F8, 28) (dual of [63, 22, 29]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {−10,−9,…,17}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(835, 63, F8, 22) (dual of [63, 28, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- 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 = {−10,−9,…,21}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(828, 63, F8, 18) (dual of [63, 35, 19]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(812, 24, F8, 9) (dual of [24, 12, 10]-code), using
- extended algebraic-geometric code AGe(F,14P) [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,7P) with degPÂ =Â 2 [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using the Klein quartic over F8 [i]
- extended algebraic-geometric code AGe(F,14P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OA(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), 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(863, 48, F8, 2, 32) (dual of [(48, 2), 33, 33]-NRT-code) | [i] | OOA Folding | |