Information on Result #1017186

Linear OOA(4933, 3843208, F49, 3, 7) (dual of [(3843208, 3), 11529591, 8]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(497, 5769603, F49, 3, 3) (dual of [(5769603, 3), 17308802, 4]-NRT-code), using
  2. linear OOA(4926, 1921604, F49, 3, 7) (dual of [(1921604, 3), 5764786, 8]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(4926, 5764812, F49, 7) (dual of [5764812, 5764786, 8]-code), using
      • construction X4 applied to C([0,3]) ⊂ C([0,2]) [i] based on
        1. linear OA(4925, 5764802, F49, 7) (dual of [5764802, 5764777, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 5764802 | 498−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
        2. linear OA(4917, 5764802, F49, 5) (dual of [5764802, 5764785, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 5764802 | 498−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
        3. linear OA(499, 10, F49, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,49)), using
        4. linear OA(491, 10, F49, 1) (dual of [10, 9, 2]-code), using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(4940, 7686416, F49, 3, 7) (dual of [(7686416, 3), 23059208, 8]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(4933, 3843207, F49, 9, 7) (dual of [(3843207, 9), 34588830, 8]-NRT-code) [i]OOA Stacking with Additional Row