Information on Result #1303348

Linear OA(995, 1062898, F9, 16) (dual of [1062898, 1062803, 17]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(994, 1062896, F9, 16) (dual of [1062896, 1062802, 17]-code), using
    • trace code [i] based on linear OA(8147, 531448, F81, 16) (dual of [531448, 531401, 17]-code), using
      • construction X applied to Ce(15) ⊂ Ce(13) [i] based on
        1. linear OA(8146, 531441, F81, 16) (dual of [531441, 531395, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
        2. linear OA(8140, 531441, F81, 14) (dual of [531441, 531401, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
        3. linear OA(811, 7, F81, 1) (dual of [7, 6, 2]-code), using
  2. linear OA(994, 1062897, F9, 15) (dual of [1062897, 1062803, 16]-code), using Gilbert–VarÅ¡amov bound and bm = 994 > Vbs−1(k−1) = 118 491123 120095 375458 514502 226374 386761 423750 325915 614839 347930 475070 169853 559416 209793 [i]
  3. linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using

Mode: 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 OOA(995, 1062898, F9, 2, 16) (dual of [(1062898, 2), 2125701, 17]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(995, 1062898, F9, 3, 16) (dual of [(1062898, 3), 3188599, 17]-NRT-code) [i]
3Digital (79, 95, 1062898)-net over F9 [i]
4Linear OOA(995, 531449, F9, 2, 16) (dual of [(531449, 2), 1062803, 17]-NRT-code) [i]OOA Folding