Information on Result #708545

Linear OA(4171, 1088, F4, 40) (dual of [1088, 917, 41]-code), using construction XX applied to C1 = C([342,375]), C2 = C([336,369]), C3 = C1 + C2 = C([342,369]), and C∩ = C1 ∩ C2 = C([336,375]) based on
  1. linear OA(4130, 1023, F4, 34) (dual of [1023, 893, 35]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {342,343,…,375}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(4126, 1023, F4, 34) (dual of [1023, 897, 35]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {336,337,…,369}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  3. linear OA(4151, 1023, F4, 40) (dual of [1023, 872, 41]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {336,337,…,375}, and designed minimum distance d ≥ |I|+1 = 41 [i]
  4. linear OA(4105, 1023, F4, 28) (dual of [1023, 918, 29]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {342,343,…,369}, and designed minimum distance d ≥ |I|+1 = 29 [i]
  5. linear OA(410, 34, F4, 5) (dual of [34, 24, 6]-code), using
  6. linear OA(410, 31, F4, 5) (dual of [31, 21, 6]-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(4172, 1089, F4, 40) (dual of [1089, 917, 41]-code) [i]Code Embedding in Larger Space
2Linear OOA(4171, 544, F4, 2, 40) (dual of [(544, 2), 917, 41]-NRT-code) [i]OOA Folding