Information on Result #1196278
Digital (33, 46, 2621)-net over F25, using net defined by OOA based on linear OOA(2546, 2621, F25, 14, 13) (dual of [(2621, 14), 36648, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2546, 7864, F25, 2, 13) (dual of [(7864, 2), 15682, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2546, 7866, F25, 2, 13) (dual of [(7866, 2), 15686, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(259, 52, F25, 2, 6) (dual of [(52, 2), 95, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,97P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- linear OOA(2537, 7814, F25, 2, 13) (dual of [(7814, 2), 15591, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2537, 15628, F25, 13) (dual of [15628, 15591, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(2537, 15625, F25, 13) (dual of [15625, 15588, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(2534, 15625, F25, 12) (dual of [15625, 15591, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- OOA 2-folding [i] based on linear OA(2537, 15628, F25, 13) (dual of [15628, 15591, 14]-code), using
- linear OOA(259, 52, F25, 2, 6) (dual of [(52, 2), 95, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2546, 7866, F25, 2, 13) (dual of [(7866, 2), 15686, 14]-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.