Information on Result #1299582

Linear OA(3235, 177207, F3, 30) (dual of [177207, 176972, 31]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(3230, 177201, F3, 30) (dual of [177201, 176971, 31]-code), using
    • construction X applied to C([0,15]) ⊂ C([0,12]) [i] based on
      1. linear OA(3221, 177148, F3, 31) (dual of [177148, 176927, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
      2. linear OA(3177, 177148, F3, 25) (dual of [177148, 176971, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
      3. linear OA(39, 53, F3, 4) (dual of [53, 44, 5]-code), using
  2. linear OA(3230, 177202, F3, 25) (dual of [177202, 176972, 26]-code), using Gilbert–VarÅ¡amov bound and bm = 3230 > Vbs−1(k−1) = 24 805912 993268 214491 080985 948648 649158 942251 246638 364200 778594 328308 337095 959660 167515 290918 531565 610160 312643 [i]
  3. linear OA(34, 5, F3, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,3)), 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(3235, 59069, F3, 3, 30) (dual of [(59069, 3), 176972, 31]-NRT-code) [i]OOA Folding