Information on Result #902486
Linear OOA(3298, 16464, F32, 2, 27) (dual of [(16464, 2), 32830, 28]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3218, 76, F32, 2, 13) (dual of [(76, 2), 134, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,138P) [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76, using
- linear OOA(3280, 16388, F32, 2, 27) (dual of [(16388, 2), 32696, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3280, 32776, F32, 27) (dual of [32776, 32696, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,12]) [i] based on
- linear OA(3279, 32769, F32, 27) (dual of [32769, 32690, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(3273, 32769, F32, 25) (dual of [32769, 32696, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(321, 7, F32, 1) (dual of [7, 6, 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([0,13]) ⊂ C([0,12]) [i] based on
- OOA 2-folding [i] based on linear OA(3280, 32776, F32, 27) (dual of [32776, 32696, 28]-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.