Information on Result #707883

Linear OA(4106, 1073, F4, 25) (dual of [1073, 967, 26]-code), using construction XX applied to C1 = C([329,349]), C2 = C([325,343]), C3 = C1 + C2 = C([329,343]), and C∩ = C1 ∩ C2 = C([325,349]) based on
  1. linear OA(476, 1023, F4, 21) (dual of [1023, 947, 22]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {329,330,…,349}, and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. linear OA(471, 1023, F4, 19) (dual of [1023, 952, 20]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {325,326,…,343}, and designed minimum distance d ≥ |I|+1 = 20 [i]
  3. linear OA(491, 1023, F4, 25) (dual of [1023, 932, 26]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {325,326,…,349}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  4. linear OA(456, 1023, F4, 15) (dual of [1023, 967, 16]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {329,330,…,343}, and designed minimum distance d ≥ |I|+1 = 16 [i]
  5. linear OA(410, 30, F4, 5) (dual of [30, 20, 6]-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(4107, 1074, F4, 25) (dual of [1074, 967, 26]-code) [i]Code Embedding in Larger Space
2Linear OOA(4106, 536, F4, 2, 25) (dual of [(536, 2), 966, 26]-NRT-code) [i]OOA Folding