Information on Result #1196218
Digital (42, 54, 65121)-net over F25, using net defined by OOA based on linear OOA(2554, 65121, F25, 14, 12) (dual of [(65121, 14), 911640, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2554, 195364, F25, 2, 12) (dual of [(195364, 2), 390674, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2554, 195366, F25, 2, 12) (dual of [(195366, 2), 390678, 13]-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(2545, 195314, F25, 2, 12) (dual of [(195314, 2), 390583, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2545, 390628, F25, 12) (dual of [390628, 390583, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2545, 390629, F25, 12) (dual of [390629, 390584, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(2545, 390625, F25, 12) (dual of [390625, 390580, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2541, 390625, F25, 11) (dual of [390625, 390584, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 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(11) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(2545, 390629, F25, 12) (dual of [390629, 390584, 13]-code), using
- OOA 2-folding [i] based on linear OA(2545, 390628, F25, 12) (dual of [390628, 390583, 13]-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(2554, 195366, F25, 2, 12) (dual of [(195366, 2), 390678, 13]-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.