Information on Result #1117423

Linear OOA(3177, 3272043, F3, 5, 13) (dual of [(3272043, 5), 16360038, 14]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(356, 1594323, F3, 5, 6) (dual of [(1594323, 5), 7971559, 7]-NRT-code), using
    • OA 3-folding and stacking [i] based on linear OA(356, 4782969, F3, 6) (dual of [4782969, 4782913, 7]-code), using
      • 1 times truncation [i] based on linear OA(357, 4782970, F3, 7) (dual of [4782970, 4782913, 8]-code), using
        • the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
  2. linear OOA(3121, 1677720, F3, 5, 13) (dual of [(1677720, 5), 8388479, 14]-NRT-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(3233, 4866366, F3, 5, 13) (dual of [(4866366, 5), 24331597, 14]-NRT-code) [i](u, u+v)-Construction for OOAs
2Linear OOA(3234, 4866371, F3, 5, 13) (dual of [(4866371, 5), 24331621, 14]-NRT-code) [i]
3Linear OOA(3235, 4866376, F3, 5, 13) (dual of [(4866376, 5), 24331645, 14]-NRT-code) [i]
4Linear OOA(3237, 6068244, F3, 5, 13) (dual of [(6068244, 5), 30340983, 14]-NRT-code) [i]
5Linear OOA(3240, 6068248, F3, 5, 13) (dual of [(6068248, 5), 30341000, 14]-NRT-code) [i]
6Linear OOA(3241, 6068254, F3, 5, 13) (dual of [(6068254, 5), 30341029, 14]-NRT-code) [i]
7Linear OOA(3242, 6068264, F3, 5, 13) (dual of [(6068264, 5), 30341078, 14]-NRT-code) [i]
8Linear OOA(3243, 6068300, F3, 5, 13) (dual of [(6068300, 5), 30341257, 14]-NRT-code) [i]
9Linear OOA(3244, 6068356, F3, 5, 13) (dual of [(6068356, 5), 30341536, 14]-NRT-code) [i]
10Linear OOA(3245, 6068492, F3, 5, 13) (dual of [(6068492, 5), 30342215, 14]-NRT-code) [i]
11Linear OOA(3246, 6068776, F3, 5, 13) (dual of [(6068776, 5), 30343634, 14]-NRT-code) [i]
12Linear OOA(3247, 6069460, F3, 5, 13) (dual of [(6069460, 5), 30347053, 14]-NRT-code) [i]
13Linear OOA(3248, 6070988, F3, 5, 13) (dual of [(6070988, 5), 30354692, 14]-NRT-code) [i]
14Linear OOA(3249, 6460692, F3, 5, 13) (dual of [(6460692, 5), 32303211, 14]-NRT-code) [i]