Information on Result #717582
Linear OA(999, 106, F9, 79) (dual of [106, 7, 80]-code), using construction X applied to C([1,79]) ⊂ C([10,70]) based on
- linear OA(979, 80, F9, 79) (dual of [80, 1, 80]-code or 80-arc in PG(78,9)), using 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, 80, F9, 61) (dual of [80, 7, 62]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {10,11,…,70}, and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(920, 26, F9, 17) (dual of [26, 6, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(920, 27, F9, 17) (dual of [27, 7, 18]-code), using
- algebraic-geometric code AG(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]
- algebraic-geometric code AG(F,9P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OA(920, 27, F9, 17) (dual of [27, 7, 18]-code), 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(999, 53, F9, 2, 79) (dual of [(53, 2), 7, 80]-NRT-code) | [i] | OOA Folding | |