Information on Result #852506
Linear OOA(965, 57, F9, 2, 33) (dual of [(57, 2), 49, 34]-NRT-code), using OOA 2-folding based on linear OA(965, 114, F9, 33) (dual of [114, 49, 34]-code), using
- construction XX applied to C1 = C([70,19]), C2 = C([1,22]), C3 = C1 + C2 = C([1,19]), and C∩ = C1 ∩ C2 = C([70,22]) [i] 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(936, 80, F9, 22) (dual of [80, 44, 23]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,22], 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 = {−10,−9,…,22}, and designed minimum distance d ≥ |I|+1 = 34 [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(92, 7, F9, 2) (dual of [7, 5, 3]-code or 7-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.
Other Results with Identical Parameters
None.
Depending Results
None.