Information on Result #1016427
Linear OOA(9143, 1594360, F9, 3, 21) (dual of [(1594360, 3), 4782937, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(915, 32, F9, 3, 10) (dual of [(32, 3), 81, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,85P) [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32, using
- linear OOA(9128, 1594328, F9, 3, 21) (dual of [(1594328, 3), 4782856, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(9128, 4782984, F9, 21) (dual of [4782984, 4782856, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(9128, 4782985, F9, 21) (dual of [4782985, 4782857, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(9127, 4782970, F9, 21) (dual of [4782970, 4782843, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(9113, 4782970, F9, 19) (dual of [4782970, 4782857, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(91, 15, F9, 1) (dual of [15, 14, 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(9128, 4782985, F9, 21) (dual of [4782985, 4782857, 22]-code), using
- OOA 3-folding [i] based on linear OA(9128, 4782984, F9, 21) (dual of [4782984, 4782856, 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.