Information on Result #710216
Linear OA(5112, 171, F5, 48) (dual of [171, 59, 49]-code), using construction XX applied to C1 = C([114,31]), C2 = C([0,37]), C3 = C1 + C2 = C([0,31]), and C∩ = C1 ∩ C2 = C([114,37]) based on
- linear OA(580, 124, F5, 42) (dual of [124, 44, 43]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−10,−9,…,31}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(574, 124, F5, 38) (dual of [124, 50, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(592, 124, F5, 48) (dual of [124, 32, 49]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−10,−9,…,37}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(562, 124, F5, 32) (dual of [124, 62, 33]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,31], and designed minimum distance d ≥ |I|+1 = 33 [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(57, 19, F5, 5) (dual of [19, 12, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 21, F5, 5) (dual of [21, 14, 6]-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.