Information on Result #688822
Linear OA(880, 88, F8, 61) (dual of [88, 8, 62]-code), using construction X applied to Ce(62) ⊂ Ce(45) based on
- linear OA(863, 64, F8, 63) (dual of [64, 1, 64]-code or 64-arc in PG(62,8)), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(856, 64, F8, 46) (dual of [64, 8, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(817, 24, F8, 14) (dual of [24, 7, 15]-code), using
- extended algebraic-geometric code AGe(F,9P) [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,9P) [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(880, 44, F8, 2, 61) (dual of [(44, 2), 8, 62]-NRT-code) | [i] | OOA Folding | |