Information on Result #707764
Linear OA(481, 1047, F4, 20) (dual of [1047, 966, 21]-code), using construction XX applied to C1 = C([323,340]), C2 = C([327,342]), C3 = C1 + C2 = C([327,340]), and C∩ = C1 ∩ C2 = C([323,342]) based on
- linear OA(470, 1023, F4, 18) (dual of [1023, 953, 19]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {323,324,…,340}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(461, 1023, F4, 16) (dual of [1023, 962, 17]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {327,328,…,342}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(476, 1023, F4, 20) (dual of [1023, 947, 21]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {323,324,…,342}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(455, 1023, F4, 14) (dual of [1023, 968, 15]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {327,328,…,340}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
- linear OA(41, 7, F4, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.