Information on Result #1300553

Linear OA(4181, 16432, F4, 32) (dual of [16432, 16251, 33]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4179, 16429, F4, 32) (dual of [16429, 16250, 33]-code), using
    • construction X applied to Ce(32) ⊂ Ce(25) [i] based on
      1. linear OA(4169, 16384, F4, 33) (dual of [16384, 16215, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
      2. linear OA(4134, 16384, F4, 26) (dual of [16384, 16250, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
      3. linear OA(410, 45, F4, 5) (dual of [45, 35, 6]-code), using
  2. linear OA(4179, 16430, F4, 30) (dual of [16430, 16251, 31]-code), using Gilbert–VarÅ¡amov bound and bm = 4179 > Vbs−1(k−1) = 1355 868892 326940 774919 411836 271565 984370 849741 907906 138065 880634 734192 810430 968577 390736 058967 695845 809472 [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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(4181, 8216, F4, 2, 32) (dual of [(8216, 2), 16251, 33]-NRT-code) [i]OOA Folding