Information on Result #717764
Linear OA(963, 110, F9, 33) (dual of [110, 47, 34]-code), using construction XX applied to C1 = C([69,20]), C2 = C([0,21]), C3 = C1 + C2 = C([0,20]), and C∩ = C1 ∩ C2 = C([69,21]) based on
- linear OA(948, 80, F9, 32) (dual of [80, 32, 33]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−11,−10,…,20}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(935, 80, F9, 22) (dual of [80, 45, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(950, 80, F9, 33) (dual of [80, 30, 34]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−11,−10,…,21}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(933, 80, F9, 21) (dual of [80, 47, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(913, 28, F9, 10) (dual of [28, 15, 11]-code), using
- extended algebraic-geometric code AGe(F,17P) [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,17P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OA(90, 2, F9, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(963, 55, F9, 2, 33) (dual of [(55, 2), 47, 34]-NRT-code) | [i] | OOA Folding | |