Information on Result #1302671

Linear OA(899, 262183, F8, 18) (dual of [262183, 262084, 19]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(898, 262181, F8, 18) (dual of [262181, 262083, 19]-code), using
    • construction X applied to Ce(17) ⊂ Ce(11) [i] based on
      1. linear OA(891, 262144, F8, 18) (dual of [262144, 262053, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
      2. linear OA(861, 262144, F8, 12) (dual of [262144, 262083, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
      3. linear OA(87, 37, F8, 5) (dual of [37, 30, 6]-code), using
  2. linear OA(898, 262182, F8, 17) (dual of [262182, 262084, 18]-code), using Gilbert–VarÅ¡amov bound and bm = 898 > Vbs−1(k−1) = 791 358920 727010 713090 495044 118138 667381 106473 184905 462452 856577 717517 541734 557402 086574 [i]
  3. linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-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(899, 262183, F8, 2, 18) (dual of [(262183, 2), 524267, 19]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(899, 262183, F8, 3, 18) (dual of [(262183, 3), 786450, 19]-NRT-code) [i]
3Digital (81, 99, 262183)-net over F8 [i]