Information on Result #717726
Linear OA(957, 107, F9, 29) (dual of [107, 50, 30]-code), using construction XX applied to C1 = C([71,14]), C2 = C([0,19]), C3 = C1 + C2 = C([0,14]), and C∩ = C1 ∩ C2 = C([71,19]) based on
- linear OA(940, 80, F9, 24) (dual of [80, 40, 25]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−9,−8,…,14}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(932, 80, F9, 20) (dual of [80, 48, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(944, 80, F9, 29) (dual of [80, 36, 30]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−9,−8,…,19}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(926, 80, F9, 15) (dual of [80, 54, 16]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-code), using
- 1 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- 1 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- linear OA(94, 8, F9, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,9)), using
- discarding factors / shortening the dual code based on linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), using
- Reed–Solomon code RS(5,9) [i]
- discarding factors / shortening the dual code based on linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), 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
None.