Information on Result #717997
Linear OA(973, 113, F9, 40) (dual of [113, 40, 41]-code), using construction XX applied to C1 = C([70,22]), C2 = C([0,29]), C3 = C1 + C2 = C([0,22]), and C∩ = C1 ∩ C2 = C([70,29]) based on
- 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(945, 80, F9, 30) (dual of [80, 35, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(956, 80, F9, 40) (dual of [80, 24, 41]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−10,−9,…,29}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(937, 80, F9, 23) (dual of [80, 43, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- linear OA(97, 13, F9, 6) (dual of [13, 6, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 17, F9, 6) (dual of [17, 10, 7]-code), using
- 3 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code) (see above)
- discarding factors / shortening the dual code based on linear OA(97, 17, F9, 6) (dual of [17, 10, 7]-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
None.