Information on Result #709461

Linear OA(4241, 1073, F4, 61) (dual of [1073, 832, 62]-code), using construction XX applied to C1 = C([293,349]), C2 = C([289,343]), C3 = C1 + C2 = C([293,343]), and C∩ = C1 ∩ C2 = C([289,349]) based on
  1. linear OA(4211, 1023, F4, 57) (dual of [1023, 812, 58]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {293,294,…,349}, and designed minimum distance d ≥ |I|+1 = 58 [i]
  2. linear OA(4206, 1023, F4, 55) (dual of [1023, 817, 56]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {289,290,…,343}, and designed minimum distance d ≥ |I|+1 = 56 [i]
  3. linear OA(4226, 1023, F4, 61) (dual of [1023, 797, 62]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {289,290,…,349}, and designed minimum distance d ≥ |I|+1 = 62 [i]
  4. linear OA(4191, 1023, F4, 51) (dual of [1023, 832, 52]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {293,294,…,343}, and designed minimum distance d ≥ |I|+1 = 52 [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(4242, 1074, F4, 61) (dual of [1074, 832, 62]-code) [i]Code Embedding in Larger Space
2Linear OOA(4241, 536, F4, 2, 61) (dual of [(536, 2), 831, 62]-NRT-code) [i]OOA Folding
3Linear OOA(4241, 357, F4, 3, 61) (dual of [(357, 3), 830, 62]-NRT-code) [i]