Information on Result #717739
Linear OA(962, 111, F9, 32) (dual of [111, 49, 33]-code), using construction XX applied to C1 = C([70,19]), C2 = C([1,21]), C3 = C1 + C2 = C([1,19]), and C∩ = C1 ∩ C2 = C([70,21]) based on
- linear OA(945, 80, F9, 30) (dual of [80, 35, 31]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−10,−9,…,19}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(934, 80, F9, 21) (dual of [80, 46, 22]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- 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 = {−10,−9,…,21}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(931, 80, F9, 19) (dual of [80, 49, 20]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(913, 27, F9, 10) (dual of [27, 14, 11]-code), using
- discarding factors / shortening the dual code based on 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
- discarding factors / shortening the dual code based on linear OA(913, 28, F9, 10) (dual of [28, 15, 11]-code), using
- linear OA(91, 4, F9, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-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(962, 55, F9, 2, 32) (dual of [(55, 2), 48, 33]-NRT-code) | [i] | OOA Folding | |