Information on Result #707784
Linear OA(4102, 1073, F4, 23) (dual of [1073, 971, 24]-code), using construction XX applied to C1 = C([321,340]), C2 = C([328,343]), C3 = C1 + C2 = C([328,340]), and C∩ = C1 ∩ C2 = C([321,343]) based on
- linear OA(475, 1023, F4, 20) (dual of [1023, 948, 21]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {321,322,…,340}, and designed minimum distance d ≥ |I|+1 = 21 [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 = {328,329,…,343}, 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 = {321,322,…,343}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(450, 1023, F4, 13) (dual of [1023, 973, 14]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {328,329,…,340}, and designed minimum distance d ≥ |I|+1 = 14 [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(43, 14, F4, 2) (dual of [14, 11, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-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.