Information on Result #902377
Linear OOA(32108, 524391, F32, 2, 23) (dual of [(524391, 2), 1048674, 24]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3218, 98, F32, 2, 11) (dual of [(98, 2), 178, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,184P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- linear OOA(3290, 524293, F32, 2, 23) (dual of [(524293, 2), 1048496, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3290, 1048586, F32, 23) (dual of [1048586, 1048496, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- linear OA(3289, 1048577, F32, 23) (dual of [1048577, 1048488, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(3281, 1048577, F32, 21) (dual of [1048577, 1048496, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(321, 9, F32, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 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 2-folding [i] based on linear OA(3290, 1048586, F32, 23) (dual of [1048586, 1048496, 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.