Information on Result #708985

Linear OA(4203, 1080, F4, 50) (dual of [1080, 877, 51]-code), using construction XX applied to C1 = C([305,349]), C2 = C([300,343]), C3 = C1 + C2 = C([305,343]), and C∩ = C1 ∩ C2 = C([300,349]) based on
  1. linear OA(4166, 1023, F4, 45) (dual of [1023, 857, 46]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {305,306,…,349}, and designed minimum distance d ≥ |I|+1 = 46 [i]
  2. linear OA(4166, 1023, F4, 44) (dual of [1023, 857, 45]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {300,301,…,343}, and designed minimum distance d ≥ |I|+1 = 45 [i]
  3. linear OA(4186, 1023, F4, 50) (dual of [1023, 837, 51]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {300,301,…,349}, and designed minimum distance d ≥ |I|+1 = 51 [i]
  4. linear OA(4146, 1023, F4, 39) (dual of [1023, 877, 40]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {305,306,…,343}, and designed minimum distance d ≥ |I|+1 = 40 [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(4204, 1081, F4, 50) (dual of [1081, 877, 51]-code) [i]Code Embedding in Larger Space
2Linear OOA(4203, 540, F4, 2, 50) (dual of [(540, 2), 877, 51]-NRT-code) [i]OOA Folding