Information on Result #688791
Linear OA(869, 78, F8, 54) (dual of [78, 9, 55]-code), using construction X applied to Ce(53) ⊂ Ce(44) based on
- linear OA(860, 64, F8, 54) (dual of [64, 4, 55]-code), using an extension Ce(53) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(855, 64, F8, 45) (dual of [64, 9, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [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 OA(869, 78, F8, 53) (dual of [78, 9, 54]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(869, 78, F8, 52) (dual of [78, 9, 53]-code) | [i] | ||
| 3 | Linear OA(874, 84, F8, 54) (dual of [84, 10, 55]-code) | [i] | Construction X with Varšamov Bound | |
| 4 | Linear OOA(869, 39, F8, 2, 54) (dual of [(39, 2), 9, 55]-NRT-code) | [i] | OOA Folding | |