Information on Result #688789
Linear OA(870, 78, F8, 55) (dual of [78, 8, 56]-code), using construction X applied to Ce(54) ⊂ Ce(45) based on
- linear OA(861, 64, F8, 55) (dual of [64, 3, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [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(89, 14, F8, 8) (dual of [14, 5, 9]-code), using
- extended algebraic-geometric code AGe(F,5P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, 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(870, 39, F8, 2, 55) (dual of [(39, 2), 8, 56]-NRT-code) | [i] | OOA Folding | |