Information on Result #1117578

Linear OOA(3199, 1913200, F3, 5, 15) (dual of [(1913200, 5), 9565801, 16]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(357, 1594323, F3, 5, 7) (dual of [(1594323, 5), 7971558, 8]-NRT-code), using
  2. linear OOA(3142, 956600, F3, 5, 15) (dual of [(956600, 5), 4782858, 16]-NRT-code), using
    • OOA 5-folding [i] based on linear OA(3142, 4783000, F3, 15) (dual of [4783000, 4782858, 16]-code), using
      • construction X4 applied to C([0,7]) ⊂ C([0,6]) [i] based on
        1. linear OA(3141, 4782970, F3, 15) (dual of [4782970, 4782829, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
        2. linear OA(3113, 4782970, F3, 13) (dual of [4782970, 4782857, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
        3. linear OA(329, 30, F3, 29) (dual of [30, 1, 30]-code or 30-arc in PG(28,3)), using
        4. linear OA(31, 30, F3, 1) (dual of [30, 29, 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(3200, 1913200, F3, 5, 15) (dual of [(1913200, 5), 9565800, 16]-NRT-code) [i]OOA Duplication
2Linear OOA(3201, 1913200, F3, 5, 15) (dual of [(1913200, 5), 9565799, 16]-NRT-code) [i]
3Linear OOA(3202, 1913200, F3, 5, 15) (dual of [(1913200, 5), 9565798, 16]-NRT-code) [i]