Information on Result #1299893

Linear OA(469, 16411, F4, 12) (dual of [16411, 16342, 13]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(468, 16409, F4, 12) (dual of [16409, 16341, 13]-code), using
    • 1 times truncation [i] based on linear OA(469, 16410, F4, 13) (dual of [16410, 16341, 14]-code), using
      • construction X applied to Ce(12) ⊂ Ce(8) [i] based on
        1. linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
        2. linear OA(443, 16384, F4, 9) (dual of [16384, 16341, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
        3. linear OA(45, 26, F4, 3) (dual of [26, 21, 4]-code or 26-cap in PG(4,4)), using
  2. linear OA(468, 16410, F4, 11) (dual of [16410, 16342, 12]-code), using Gilbert–VarÅ¡amov bound and bm = 468 > Vbs−1(k−1) = 22970 354879 805892 949363 719340 838296 161744 [i]
  3. linear OA(40, 1, F4, 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(469, 16411, F4, 2, 12) (dual of [(16411, 2), 32753, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(469, 16411, F4, 3, 12) (dual of [(16411, 3), 49164, 13]-NRT-code) [i]
3Digital (57, 69, 16411)-net over F4 [i]