Information on Result #674136
Linear OA(2111, 119, F2, 55) (dual of [119, 8, 56]-code), using construction XX applied to C1 = C([0,44]), C2 = C([1,48]), C3 = C1 + C2 = C([1,44]), and C∩ = C1 ∩ C2 = C([0,48]) based on
- linear OA(298, 105, F2, 51) (dual of [105, 7, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 105 | 212−1, defining interval I = [0,44], and minimum distance d ≥ |{−6,−5,…,44}|+1 = 52 (BCH-bound) [i]
- linear OA(2100, 105, F2, 48) (dual of [105, 5, 49]-code), using the narrow-sense BCH-code C(I) with length 105 | 212−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(2101, 105, F2, 55) (dual of [105, 4, 56]-code), using the expurgated narrow-sense BCH-code C(I) with length 105 | 212−1, defining interval I = [0,48], and minimum distance d ≥ |{−3,8,19,…,−39}|+1 = 56 (BCH-bound) [i]
- linear OA(297, 105, F2, 44) (dual of [105, 8, 45]-code), using the narrow-sense BCH-code C(I) with length 105 | 212−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(26, 7, F2, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,2)), using
- dual of repetition code with length 7 [i]
- linear OA(24, 7, F2, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,2)), using
- Simplex code S(3,2) [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
None.