Information on Result #851515
Linear OOA(942, 49, F9, 2, 22) (dual of [(49, 2), 56, 23]-NRT-code), using OOA 2-folding based on linear OA(942, 98, F9, 22) (dual of [98, 56, 23]-code), using
- construction XX applied to C1 = C([0,20]), C2 = C([7,21]), C3 = C1 + C2 = C([7,20]), and C∩ = C1 ∩ C2 = C([0,21]) [i] based on
- 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(926, 80, F9, 15) (dual of [80, 54, 16]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {7,8,…,21}, and designed minimum distance d ≥ |I|+1 = 16 [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(924, 80, F9, 14) (dual of [80, 56, 15]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {7,8,…,20}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(97, 16, F9, 6) (dual of [16, 9, 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), using
- extended quadratic residue code Qe(20,9) [i]
- 3 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 17, F9, 6) (dual of [17, 10, 7]-code), 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.
Other Results with Identical Parameters
None.
Depending Results
None.