Information on Result #691067
Linear OA(978, 112, F9, 42) (dual of [112, 34, 43]-code), using construction XX applied to C([0,21]) ⊂ C([0,14]) ⊂ C([0,13]) based on
- linear OA(961, 82, F9, 43) (dual of [82, 21, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(949, 82, F9, 29) (dual of [82, 33, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(945, 82, F9, 27) (dual of [82, 37, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(915, 28, F9, 12) (dual of [28, 13, 13]-code), using
- extended algebraic-geometric code AGe(F,15P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric code AGe(F,15P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OA(91, 2, F9, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 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.