Information on Result #1299405

Linear OA(3231, 264, F3, 121) (dual of [264, 33, 122]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(3211, 243, F3, 121) (dual of [243, 32, 122]-code), using
    • an extension Ce(120) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,120], and designed minimum distance d ≥ |I|+1 = 121 [i]
  2. linear OA(3211, 244, F3, 101) (dual of [244, 33, 102]-code), using Gilbert–VarÅ¡amov bound and bm = 3211 > Vbs−1(k−1) = 30980 504727 861938 578869 746902 744079 224209 280276 636106 993981 373675 805657 976528 311107 644044 848657 807451 [i]
  3. linear OA(319, 20, F3, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,3)), 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 OA(3231, 264, F3, 120) (dual of [264, 33, 121]-code) [i]Strength Reduction
2Linear OA(3231, 264, F3, 119) (dual of [264, 33, 120]-code) [i]
3Linear OA(3231, 264, F3, 118) (dual of [264, 33, 119]-code) [i]
4Linear OA(3231, 264, F3, 117) (dual of [264, 33, 118]-code) [i]
5Linear OA(3229, 262, F3, 119) (dual of [262, 33, 120]-code) [i]Truncation
6Linear OA(3226, 259, F3, 116) (dual of [259, 33, 117]-code) [i]
7Linear OA(3223, 256, F3, 113) (dual of [256, 33, 114]-code) [i]
8Linear OA(3220, 253, F3, 110) (dual of [253, 33, 111]-code) [i]