Information on Result #1016454
Linear OOA(9116, 19715, F9, 3, 23) (dual of [(19715, 3), 59029, 24]-NRT-code), using (u, u+v)-construction based on
- linear OOA(914, 28, F9, 3, 11) (dual of [(28, 3), 70, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,72P) [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 NRT-code AGe(3;F,72P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OOA(9102, 19687, F9, 3, 23) (dual of [(19687, 3), 58959, 24]-NRT-code), using
- OOA 3-folding [i] based on linear OA(9102, 59061, F9, 23) (dual of [59061, 58959, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- linear OA(9101, 59050, F9, 23) (dual of [59050, 58949, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(991, 59050, F9, 21) (dual of [59050, 58959, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- OOA 3-folding [i] based on linear OA(9102, 59061, F9, 23) (dual of [59061, 58959, 24]-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
None.