Information on Result #710155
Linear OA(5110, 170, F5, 47) (dual of [170, 60, 48]-code), using construction XX applied to C1 = C([114,30]), C2 = C([1,36]), C3 = C1 + C2 = C([1,30]), and C∩ = C1 ∩ C2 = C([114,36]) 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(570, 124, F5, 36) (dual of [124, 54, 37]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(589, 124, F5, 47) (dual of [124, 35, 48]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−10,−9,…,36}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(560, 124, F5, 30) (dual of [124, 64, 31]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(514, 29, F5, 10) (dual of [29, 15, 11]-code), using
- 1 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]
- 1 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- linear OA(57, 17, F5, 5) (dual of [17, 10, 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.