-phase Codes are described which have an autocorrelation function with one main peak and very small side peaks. With 
 phases an 
 long pulse sequence is generated. Properties have been verified for 
 up to 
 and a rule for main peak-to-side-peak ratio is conjectured for larger 
 . For 
 greater than 
 . the ratio is substantially better than the best ratios which have been shown for binary bipolar codes. Doppler shift effects appear to be similar to those of linear FM radar pulse compression.