Information on Result #641192

Linear OA(496, 100, F4, 73) (dual of [100, 4, 74]-code), using juxtaposition based on
  1. linear OA(411, 15, F4, 9) (dual of [15, 4, 10]-code), using
  2. linear OA(481, 85, F4, 63) (dual of [85, 4, 64]-code), using
    • Simplex code S(4,4) [i]
    • the expurgated narrow-sense BCH-code C(I) with length 85 | 44−1, defining interval I = [0,56], and minimum distance d ≥ |{−6,−5,…,56}|+1 = 64 (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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(496, 100, F4, 72) (dual of [100, 4, 73]-code) [i]Strength Reduction
2Linear OOA(496, 50, F4, 2, 73) (dual of [(50, 2), 4, 74]-NRT-code) [i]OOA Folding
3Linear OOA(496, 33, F4, 3, 73) (dual of [(33, 3), 3, 74]-NRT-code) [i]