Information on Result #894947

Linear OOA(3114, 4782984, F3, 2, 9) (dual of [(4782984, 2), 9565854, 10]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(329, 4782968, F3, 2, 4) (dual of [(4782968, 2), 9565907, 5]-NRT-code), using
  2. linear OOA(385, 2391492, F3, 2, 9) (dual of [(2391492, 2), 4782899, 10]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(385, 4782984, F3, 9) (dual of [4782984, 4782899, 10]-code), using
      • 1 times truncation [i] based on linear OA(386, 4782985, F3, 10) (dual of [4782985, 4782899, 11]-code), using
        • construction X4 applied to Ce(9) ⊂ Ce(7) [i] based on
          1. linear OA(385, 4782969, F3, 10) (dual of [4782969, 4782884, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
          2. linear OA(371, 4782969, F3, 8) (dual of [4782969, 4782898, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
          3. linear OA(315, 16, F3, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,3)), using
          4. linear OA(31, 16, F3, 1) (dual of [16, 15, 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(3114, 2391492, F3, 4, 9) (dual of [(2391492, 4), 9565854, 10]-NRT-code) [i]OOA Folding