Information on Result #688879
Linear OA(863, 87, F8, 38) (dual of [87, 24, 39]-code), using construction X applied to Ce(37) ⊂ Ce(27) based on
- linear OA(851, 64, F8, 38) (dual of [64, 13, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(840, 64, F8, 28) (dual of [64, 24, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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
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, 43, F8, 2, 38) (dual of [(43, 2), 23, 39]-NRT-code) | [i] | OOA Folding | |