Information on Result #688893
Linear OA(854, 88, F8, 29) (dual of [88, 34, 30]-code), using construction X applied to Ce(28) ⊂ Ce(18) based on
- linear OA(842, 64, F8, 29) (dual of [64, 22, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(829, 64, F8, 19) (dual of [64, 35, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,18], 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
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(854, 44, F8, 2, 29) (dual of [(44, 2), 34, 30]-NRT-code) | [i] | OOA Folding | |