Information on Result #688823
Linear OA(872, 81, F8, 55) (dual of [81, 9, 56]-code), using construction X applied to Ce(54) ⊂ Ce(44) 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(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(811, 17, F8, 9) (dual of [17, 6, 10]-code), using
- extended algebraic-geometric code AGe(F,7P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, 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(872, 81, F8, 54) (dual of [81, 9, 55]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(872, 81, F8, 53) (dual of [81, 9, 54]-code) | [i] | ||
| 3 | Linear OA(871, 80, F8, 54) (dual of [80, 9, 55]-code) | [i] | Truncation | |
| 4 | Linear OA(868, 77, F8, 51) (dual of [77, 9, 52]-code) | [i] | ||
| 5 | Linear OA(866, 75, F8, 49) (dual of [75, 9, 50]-code) | [i] | ||