Information on Result #1299946

Linear OA(484, 1048602, F4, 11) (dual of [1048602, 1048518, 12]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(482, 1048599, F4, 11) (dual of [1048599, 1048517, 12]-code), using
    • construction X4 applied to C([0,5]) ⊂ C([0,4]) [i] based on
      1. linear OA(481, 1048577, F4, 11) (dual of [1048577, 1048496, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
      2. linear OA(461, 1048577, F4, 9) (dual of [1048577, 1048516, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
      3. linear OA(421, 22, F4, 21) (dual of [22, 1, 22]-code or 22-arc in PG(20,4)), using
      4. linear OA(41, 22, F4, 1) (dual of [22, 21, 2]-code), using
  2. linear OA(482, 1048600, F4, 9) (dual of [1048600, 1048518, 10]-code), using Gilbert–VarÅ¡amov bound and bm = 482 > Vbs−1(k−1) = 237856 232576 187549 974856 024211 765017 061338 727546 [i]
  3. linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-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(484, 524301, F4, 2, 11) (dual of [(524301, 2), 1048518, 12]-NRT-code) [i]OOA Folding
2Linear OOA(484, 349534, F4, 3, 11) (dual of [(349534, 3), 1048518, 12]-NRT-code) [i]