Information on Result #2277691
Linear OA(581, 157, F5, 33) (dual of [157, 76, 34]-code), using 1 times code embedding in larger space based on linear OA(580, 156, F5, 33) (dual of [156, 76, 34]-code), using
- construction XX applied to C1 = C([0,30]), C2 = C([11,32]), C3 = C1 + C2 = C([11,30]), and C∩ = C1 ∩ C2 = C([0,32]) [i] based on
- 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(552, 124, F5, 22) (dual of [124, 72, 23]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {11,12,…,32}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(565, 124, F5, 33) (dual of [124, 59, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(548, 124, F5, 20) (dual of [124, 76, 21]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {11,12,…,30}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(514, 27, F5, 10) (dual of [27, 13, 11]-code), using
- discarding factors / shortening the dual code based on 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
- discarding factors / shortening the dual code based on linear OA(514, 29, F5, 10) (dual of [29, 15, 11]-code), using
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [i]
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.