Information on Result #718088
Linear OA(981, 116, F9, 45) (dual of [116, 35, 46]-code), using construction XX applied to C1 = C([69,30]), C2 = C([1,33]), C3 = C1 + C2 = C([1,30]), and C∩ = C1 ∩ C2 = C([69,33]) based on
- linear OA(959, 80, F9, 42) (dual of [80, 21, 43]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−11,−10,…,30}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(951, 80, F9, 33) (dual of [80, 29, 34]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(965, 80, F9, 45) (dual of [80, 15, 46]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−11,−10,…,33}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(945, 80, F9, 30) (dual of [80, 35, 31]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(914, 28, F9, 11) (dual of [28, 14, 12]-code), using
- extended algebraic-geometric code AGe(F,16P) [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,16P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OA(92, 8, F9, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,9)), using
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [i]
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), 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(981, 58, F9, 2, 45) (dual of [(58, 2), 35, 46]-NRT-code) | [i] | OOA Folding | |