Information on Result #1300156

Linear OA(4129, 1048615, F4, 17) (dual of [1048615, 1048486, 18]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4126, 1048611, F4, 17) (dual of [1048611, 1048485, 18]-code), using
    • construction X applied to Ce(16) ⊂ Ce(12) [i] based on
      1. linear OA(4121, 1048576, F4, 17) (dual of [1048576, 1048455, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
      2. linear OA(491, 1048576, F4, 13) (dual of [1048576, 1048485, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
      3. linear OA(45, 35, F4, 3) (dual of [35, 30, 4]-code or 35-cap in PG(4,4)), using
  2. linear OA(4126, 1048612, F4, 14) (dual of [1048612, 1048486, 15]-code), using Gilbert–VarÅ¡amov bound and bm = 4126 > Vbs−1(k−1) = 474 518123 491470 788742 921614 687976 418135 526469 969326 782111 330578 914417 966224 [i]
  3. linear OA(42, 3, F4, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,4)), 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

None.