Information on Result #709164

Linear OA(4218, 1080, F4, 54) (dual of [1080, 862, 55]-code), using construction XX applied to C1 = C([301,349]), C2 = C([296,343]), C3 = C1 + C2 = C([301,343]), and C∩ = C1 ∩ C2 = C([296,349]) based on
  1. linear OA(4181, 1023, F4, 49) (dual of [1023, 842, 50]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {301,302,…,349}, and designed minimum distance d ≥ |I|+1 = 50 [i]
  2. linear OA(4181, 1023, F4, 48) (dual of [1023, 842, 49]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {296,297,…,343}, and designed minimum distance d ≥ |I|+1 = 49 [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 = {296,297,…,349}, and designed minimum distance d ≥ |I|+1 = 55 [i]
  4. linear OA(4161, 1023, F4, 43) (dual of [1023, 862, 44]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {301,302,…,343}, and designed minimum distance d ≥ |I|+1 = 44 [i]
  5. linear OA(410, 30, F4, 5) (dual of [30, 20, 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(4219, 1081, F4, 54) (dual of [1081, 862, 55]-code) [i]Code Embedding in Larger Space
2Linear OOA(4218, 540, F4, 2, 54) (dual of [(540, 2), 862, 55]-NRT-code) [i]OOA Folding