Information on Result #897611
Linear OOA(9106, 29560, F9, 2, 21) (dual of [(29560, 2), 59014, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(914, 30, F9, 2, 10) (dual of [(30, 2), 46, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,49P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- linear OOA(992, 29530, F9, 2, 21) (dual of [(29530, 2), 58968, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(992, 59060, F9, 21) (dual of [59060, 58968, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(992, 59061, F9, 21) (dual of [59061, 58969, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- 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(981, 59050, F9, 19) (dual of [59050, 58969, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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([0,10]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(992, 59061, F9, 21) (dual of [59061, 58969, 22]-code), using
- OOA 2-folding [i] based on linear OA(992, 59060, F9, 21) (dual of [59060, 58968, 22]-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.