Information on Result #1297225
Linear OA(2111, 202, F2, 30) (dual of [202, 91, 31]-code), using construction X with Varšamov bound based on
- linear OA(2107, 197, F2, 30) (dual of [197, 90, 31]-code), using
- 1 times truncation [i] based on linear OA(2108, 198, F2, 31) (dual of [198, 90, 32]-code), using
- concatenation of two codes [i] based on
- linear OA(3215, 33, F32, 15) (dual of [33, 18, 16]-code or 33-arc in PG(14,32)), using
- extended Reed–Solomon code RSe(18,32) [i]
- the expurgated narrow-sense BCH-code C(I) with length 33 | 322−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(21, 6, F2, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(3215, 33, F32, 15) (dual of [33, 18, 16]-code or 33-arc in PG(14,32)), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(2108, 198, F2, 31) (dual of [198, 90, 32]-code), using
- linear OA(2107, 198, F2, 26) (dual of [198, 91, 27]-code), using Gilbert–Varšamov bound and bm = 2107 > Vbs−1(k−1) = 35 287399 050272 811850 284139 868656 [i]
- linear OA(23, 4, F2, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,2) or 4-cap in PG(2,2)), using
- dual of repetition code with length 4 [i]
- caps in base b = 2 [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.