Information on Result #679252

Linear OA(4159, 16448, F4, 27) (dual of [16448, 16289, 28]-code), using construction X applied to Ce(26) ⊂ Ce(17) based on
  1. linear OA(4141, 16384, F4, 27) (dual of [16384, 16243, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  2. linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
  3. linear OA(418, 64, F4, 8) (dual of [64, 46, 9]-code), using
    • 1 times truncation [i] based on linear OA(419, 65, F4, 9) (dual of [65, 46, 10]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]

Mode: Constructive and 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(4159, 8224, F4, 2, 27) (dual of [(8224, 2), 16289, 28]-NRT-code) [i]OOA Folding
2Linear OOA(4159, 5482, F4, 3, 27) (dual of [(5482, 3), 16287, 28]-NRT-code) [i]
3Linear OOA(4159, 1265, F4, 27, 27) (dual of [(1265, 27), 33996, 28]-NRT-code) [i]OOA Folding and Stacking with Additional Row