Combinatorial synthesis procedures that fit a restrictively defined "fully parallel" criterion tend to be extremely efficient methods. We describe how linear library organization allows such synthesis, without loss of synthetic history information, with an example of a peptide library. Fluorescence measurements of several types are used to measure activities. A novel Fourier Transform approach to library data analysis allows robust evaluation of trends. The use of the cladding of optical fibers as linear supports for combinatorial libraries significantly extends the potential applications of the technique, allowing for spatially resolved optical evaluation of library activity using laser pulses propagating through the fiber core. Moreover, by using different fiber cladding materials, the range of chemistries amenable to one-dimensional combinatorial synthesis is significantly increased. It is noteworthy that the procedure is particularly applicable to the fabrication and evaluation of real-time sensor arrays.