Information on Result #1200116
Digital (72, 101, 2347)-net over F32, using net defined by OOA based on linear OOA(32101, 2347, F32, 30, 29) (dual of [(2347, 30), 70309, 30]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(32101, 16430, F32, 2, 29) (dual of [(16430, 2), 32759, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(32101, 16432, F32, 2, 29) (dual of [(16432, 2), 32763, 30]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3215, 44, F32, 2, 14) (dual of [(44, 2), 73, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,73P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(3286, 16388, F32, 2, 29) (dual of [(16388, 2), 32690, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3286, 32776, F32, 29) (dual of [32776, 32690, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,13]) [i] based on
- linear OA(3285, 32769, F32, 29) (dual of [32769, 32684, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- 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(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([0,14]) ⊂ C([0,13]) [i] based on
- OOA 2-folding [i] based on linear OA(3286, 32776, F32, 29) (dual of [32776, 32690, 30]-code), using
- linear OOA(3215, 44, F32, 2, 14) (dual of [(44, 2), 73, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(32101, 16432, F32, 2, 29) (dual of [(16432, 2), 32763, 30]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.