Information on Result #3266315
Digital (74, 105, 2187)-net over F32, using 324 times duplication based on digital (70, 101, 2187)-net over F32, using
- net defined by OOA [i] based on linear OOA(32101, 2187, F32, 31, 31) (dual of [(2187, 31), 67696, 32]-NRT-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(32101, 32806, F32, 31) (dual of [32806, 32705, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(32101, 32809, F32, 31) (dual of [32809, 32708, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([0,10]) [i] based on
- linear OA(3291, 32769, F32, 31) (dual of [32769, 32678, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(3261, 32769, F32, 21) (dual of [32769, 32708, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(3210, 40, F32, 9) (dual of [40, 30, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(3210, 43, F32, 9) (dual of [43, 33, 10]-code), using
- algebraic-geometric code AG(F,33P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- discarding factors / shortening the dual code based on linear OA(3210, 43, F32, 9) (dual of [43, 33, 10]-code), using
- construction X applied to C([0,15]) ⊂ C([0,10]) [i] based on
- discarding factors / shortening the dual code based on linear OA(32101, 32809, F32, 31) (dual of [32809, 32708, 32]-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(32101, 32806, F32, 31) (dual of [32806, 32705, 32]-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.