Information on Result #910925

Linear OOA(2232, 124, F2, 2, 122) (dual of [(124, 2), 16, 123]-NRT-code), using concatenation of two NRT-codes based on
  1. linear OA(454, 62, F4, 40) (dual of [62, 8, 41]-code), using
    • 3 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 OOA(22, 2, F2, 2, 2) (dual of [(2, 2), 2, 3]-NRT-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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(2232, 124, F2, 2, 121) (dual of [(124, 2), 16, 122]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2232, 124, F2, 2, 120) (dual of [(124, 2), 16, 121]-NRT-code) [i]
3Linear OOA(2232, 124, F2, 2, 119) (dual of [(124, 2), 16, 120]-NRT-code) [i]
4Linear OOA(2232, 124, F2, 2, 118) (dual of [(124, 2), 16, 119]-NRT-code) [i]
5Linear OOA(2232, 124, F2, 2, 117) (dual of [(124, 2), 16, 118]-NRT-code) [i]
6Linear OOA(2232, 124, F2, 2, 116) (dual of [(124, 2), 16, 117]-NRT-code) [i]
7Linear OOA(2231, 123, F2, 2, 121) (dual of [(123, 2), 15, 122]-NRT-code) [i]Truncation for OOAs
8Linear OOA(2230, 123, F2, 2, 120) (dual of [(123, 2), 16, 121]-NRT-code) [i]
9Linear OOA(2229, 122, F2, 2, 119) (dual of [(122, 2), 15, 120]-NRT-code) [i]
10Linear OOA(2227, 121, F2, 2, 117) (dual of [(121, 2), 15, 118]-NRT-code) [i]
11Linear OOA(2226, 121, F2, 2, 116) (dual of [(121, 2), 16, 117]-NRT-code) [i]
12Linear OOA(2232, 62, F2, 4, 122) (dual of [(62, 4), 16, 123]-NRT-code) [i]OOA Folding