Information on Result #709064

Linear OA(4214, 1079, F4, 53) (dual of [1079, 865, 54]-code), using construction XX applied to C1 = C([301,349]), C2 = C([297,342]), C3 = C1 + C2 = C([301,342]), and C∩ = C1 ∩ C2 = C([297,349]) 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(4171, 1023, F4, 46) (dual of [1023, 852, 47]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {297,298,…,342}, and designed minimum distance d ≥ |I|+1 = 47 [i]
  3. linear OA(4196, 1023, F4, 53) (dual of [1023, 827, 54]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {297,298,…,349}, and designed minimum distance d ≥ |I|+1 = 54 [i]
  4. linear OA(4156, 1023, F4, 42) (dual of [1023, 867, 43]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {301,302,…,342}, and designed minimum distance d ≥ |I|+1 = 43 [i]
  5. linear OA(413, 36, F4, 6) (dual of [36, 23, 7]-code), using
  6. linear OA(45, 20, F4, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,4)), 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(4215, 1080, F4, 53) (dual of [1080, 865, 54]-code) [i]Code Embedding in Larger Space
2Linear OOA(4214, 539, F4, 2, 53) (dual of [(539, 2), 864, 54]-NRT-code) [i]OOA Folding