Information on Result #1299997

Linear OA(497, 1048613, F4, 12) (dual of [1048613, 1048516, 13]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(495, 1048610, F4, 12) (dual of [1048610, 1048515, 13]-code), using
    • 1 times truncation [i] based on linear OA(496, 1048611, F4, 13) (dual of [1048611, 1048515, 14]-code), using
      • construction X applied to Ce(12) ⊂ Ce(8) [i] based on
        1. 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]
        2. linear OA(461, 1048576, F4, 9) (dual of [1048576, 1048515, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(495, 1048611, F4, 10) (dual of [1048611, 1048516, 11]-code), using Gilbert–VarÅ¡amov bound and bm = 495 > Vbs−1(k−1) = 83145 844241 606508 358035 149649 142386 609632 118157 330612 [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

None.