Information on Result #1199740
Digital (52, 72, 3290)-net over F32, using net defined by OOA based on linear OOA(3272, 3290, F32, 22, 20) (dual of [(3290, 22), 72308, 21]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(3272, 16451, F32, 2, 20) (dual of [(16451, 2), 32830, 21]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3213, 64, F32, 2, 10) (dual of [(64, 2), 115, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,117P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OOA(3259, 16387, F32, 2, 20) (dual of [(16387, 2), 32715, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3259, 32774, F32, 20) (dual of [32774, 32715, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3259, 32775, F32, 20) (dual of [32775, 32716, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- linear OA(3258, 32768, F32, 20) (dual of [32768, 32710, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3252, 32768, F32, 18) (dual of [32768, 32716, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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 Ce(19) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(3259, 32775, F32, 20) (dual of [32775, 32716, 21]-code), using
- OOA 2-folding [i] based on linear OA(3259, 32774, F32, 20) (dual of [32774, 32715, 21]-code), using
- linear OOA(3213, 64, F32, 2, 10) (dual of [(64, 2), 115, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
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.