Information on Result #1199986
Digital (65, 90, 2743)-net over F32, using net defined by OOA based on linear OOA(3290, 2743, F32, 26, 25) (dual of [(2743, 26), 71228, 26]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(3290, 16459, F32, 2, 25) (dual of [(16459, 2), 32828, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3290, 16461, F32, 2, 25) (dual of [(16461, 2), 32832, 26]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3217, 76, F32, 2, 12) (dual of [(76, 2), 135, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,139P) [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76, using
- linear OOA(3273, 16385, F32, 2, 25) (dual of [(16385, 2), 32697, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3273, 32770, F32, 25) (dual of [32770, 32697, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3273, 32771, F32, 25) (dual of [32771, 32698, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(3273, 32768, F32, 25) (dual of [32768, 32695, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3270, 32768, F32, 24) (dual of [32768, 32698, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(3273, 32771, F32, 25) (dual of [32771, 32698, 26]-code), using
- OOA 2-folding [i] based on linear OA(3273, 32770, F32, 25) (dual of [32770, 32697, 26]-code), using
- linear OOA(3217, 76, F32, 2, 12) (dual of [(76, 2), 135, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3290, 16461, F32, 2, 25) (dual of [(16461, 2), 32832, 26]-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.