Information on Result #710088
Linear OA(5102, 162, F5, 44) (dual of [162, 60, 45]-code), using construction XX applied to C1 = C([114,30]), C2 = C([0,33]), C3 = C1 + C2 = C([0,30]), and C∩ = C1 ∩ C2 = C([114,33]) based on
- linear OA(579, 124, F5, 41) (dual of [124, 45, 42]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−10,−9,…,30}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(568, 124, F5, 34) (dual of [124, 56, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(586, 124, F5, 44) (dual of [124, 38, 45]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−10,−9,…,33}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(561, 124, F5, 31) (dual of [124, 63, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(513, 28, F5, 9) (dual of [28, 15, 10]-code), using
- 2 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,5) [i]
- 2 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- linear OA(53, 10, F5, 2) (dual of [10, 7, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-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.
Other Results with Identical Parameters
None.
Depending Results
None.