Information on Result #691179
Linear OA(9101, 109, F9, 80) (dual of [109, 8, 81]-code), using construction X applied to Ce(79) ⊂ Ce(60) based on
- linear OA(980, 81, F9, 80) (dual of [81, 1, 81]-code or 81-arc in PG(79,9)), using an extension Ce(79) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,79], and designed minimum distance d ≥ |I|+1 = 80 [i]
- linear OA(973, 81, F9, 61) (dual of [81, 8, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(921, 28, F9, 18) (dual of [28, 7, 19]-code), using
- extended algebraic-geometric code AGe(F,9P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric code AGe(F,9P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, 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(9119, 127, F9, 90) (dual of [127, 8, 91]-code) | [i] | Juxtaposition | |