Information on Result #707967

Linear OA(4118, 1081, F4, 27) (dual of [1081, 963, 28]-code), using construction XX applied to C1 = C([1018,16]), C2 = C([1,21]), C3 = C1 + C2 = C([1,16]), and C∩ = C1 ∩ C2 = C([1018,21]) based on
  1. linear OA(481, 1023, F4, 22) (dual of [1023, 942, 23]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,16}, and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(480, 1023, F4, 21) (dual of [1023, 943, 22]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(4101, 1023, F4, 27) (dual of [1023, 922, 28]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,21}, and designed minimum distance d ≥ |I|+1 = 28 [i]
  4. linear OA(460, 1023, F4, 16) (dual of [1023, 963, 17]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(4119, 1082, F4, 27) (dual of [1082, 963, 28]-code) [i]Code Embedding in Larger Space