Information on Result #709181

Linear OA(4211, 1063, F4, 54) (dual of [1063, 852, 55]-code), using construction XX applied to C1 = C([1018,45]), C2 = C([0,48]), C3 = C1 + C2 = C([0,45]), and C∩ = C1 ∩ C2 = C([1018,48]) based on
  1. linear OA(4191, 1023, F4, 51) (dual of [1023, 832, 52]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,45}, and designed minimum distance d ≥ |I|+1 = 52 [i]
  2. linear OA(4181, 1023, F4, 49) (dual of [1023, 842, 50]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,48], and designed minimum distance d ≥ |I|+1 = 50 [i]
  3. linear OA(4201, 1023, F4, 54) (dual of [1023, 822, 55]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,48}, and designed minimum distance d ≥ |I|+1 = 55 [i]
  4. linear OA(4171, 1023, F4, 46) (dual of [1023, 852, 47]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,45], and designed minimum distance d ≥ |I|+1 = 47 [i]
  5. linear OA(47, 27, F4, 4) (dual of [27, 20, 5]-code), using
  6. linear OA(43, 13, F4, 2) (dual of [13, 10, 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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(4211, 531, F4, 2, 54) (dual of [(531, 2), 851, 55]-NRT-code) [i]OOA Folding
2Linear OOA(4211, 354, F4, 3, 54) (dual of [(354, 3), 851, 55]-NRT-code) [i]