Information on Result #690971
Linear OA(975, 104, F9, 43) (dual of [104, 29, 44]-code), using construction X applied to C([0,21]) ⊂ C([0,15]) 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(953, 82, F9, 31) (dual of [82, 29, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(914, 22, F9, 11) (dual of [22, 8, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(914, 28, F9, 11) (dual of [28, 14, 12]-code), using
- extended algebraic-geometric code AGe(F,16P) [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,16P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OA(914, 28, F9, 11) (dual of [28, 14, 12]-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
None.