Information on Result #688876
Linear OA(871, 87, F8, 47) (dual of [87, 16, 48]-code), using construction X applied to Ce(46) ⊂ Ce(35) based on
- linear OA(858, 64, F8, 47) (dual of [64, 6, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(848, 64, F8, 36) (dual of [64, 16, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(813, 23, F8, 10) (dual of [23, 10, 11]-code), using
- algebraic-geometric code AG(F,12P) [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,12P) [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 OA(871, 87, F8, 46) (dual of [87, 16, 47]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(872, 88, F8, 47) (dual of [88, 16, 48]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(870, 86, F8, 46) (dual of [86, 16, 47]-code) | [i] | Truncation | |