Information on Result #707774
Linear OA(4100, 1066, F4, 23) (dual of [1066, 966, 24]-code), using construction XX applied to C1 = C([320,340]), C2 = C([327,342]), C3 = C1 + C2 = C([327,340]), and C∩ = C1 ∩ C2 = C([320,342]) based on
- linear OA(480, 1023, F4, 21) (dual of [1023, 943, 22]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {320,321,…,340}, and designed minimum distance d ≥ |I|+1 = 22 [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(486, 1023, F4, 23) (dual of [1023, 937, 24]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {320,321,…,342}, and designed minimum distance d ≥ |I|+1 = 24 [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(413, 36, F4, 6) (dual of [36, 23, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), 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.