Information on Result #710258
Linear OA(5108, 161, F5, 48) (dual of [161, 53, 49]-code), using construction XX applied to C1 = C([29,72]), C2 = C([25,63]), C3 = C1 + C2 = C([29,63]), and C∩ = C1 ∩ C2 = C([25,72]) based on
- 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 = {29,30,…,72}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(577, 124, F5, 39) (dual of [124, 47, 40]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {25,26,…,63}, and designed minimum distance d ≥ |I|+1 = 40 [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 = {25,26,…,72}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(571, 124, F5, 35) (dual of [124, 53, 36]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {29,30,…,63}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(512, 27, F5, 8) (dual of [27, 15, 9]-code), using
- 3 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]
- 3 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- linear OA(54, 10, F5, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,5)), 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.