Information on Result #709371

Linear OA(4238, 1081, F4, 59) (dual of [1081, 843, 60]-code), using construction XX applied to C1 = C([1018,48]), C2 = C([1,53]), C3 = C1 + C2 = C([1,48]), and C∩ = C1 ∩ C2 = C([1018,53]) based on
  1. 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]
  2. linear OA(4200, 1023, F4, 53) (dual of [1023, 823, 54]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [i]
  3. linear OA(4221, 1023, F4, 59) (dual of [1023, 802, 60]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,53}, and designed minimum distance d ≥ |I|+1 = 60 [i]
  4. linear OA(4180, 1023, F4, 48) (dual of [1023, 843, 49]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
  5. linear OA(410, 31, F4, 5) (dual of [31, 21, 6]-code), using
  6. linear OA(47, 27, F4, 4) (dual of [27, 20, 5]-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 OA(4239, 1082, F4, 59) (dual of [1082, 843, 60]-code) [i]Code Embedding in Larger Space