Information on Result #629379

Linear OA(2155, 171, F2, 71) (dual of [171, 16, 72]-code), using concatenation of two codes based on
  1. linear OA(449, 57, F4, 35) (dual of [57, 8, 36]-code), using
    • 8 times truncation [i] based on linear OA(457, 65, F4, 43) (dual of [65, 8, 44]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
  2. linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using

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(2155, 171, F2, 70) (dual of [171, 16, 71]-code) [i]Strength Reduction
2Linear OA(2155, 171, F2, 69) (dual of [171, 16, 70]-code) [i]
3Linear OA(2155, 171, F2, 68) (dual of [171, 16, 69]-code) [i]
4Linear OA(2153, 169, F2, 69) (dual of [169, 16, 70]-code) [i]Truncation
5Linear OA(2151, 167, F2, 67) (dual of [167, 16, 68]-code) [i]
6Linear OA(2150, 166, F2, 66) (dual of [166, 16, 67]-code) [i]
7Linear OA(2148, 164, F2, 64) (dual of [164, 16, 65]-code) [i]
8Linear OOA(2155, 57, F2, 3, 71) (dual of [(57, 3), 16, 72]-NRT-code) [i]OOA Folding