add property, simplifies the tabulation and analysis of partial-period correlation statistics. While the results of the last three sections appear to present a relatively complete theory and are to a great extent available in [12], the study of par- tial-period correlation has remained a topic of research interest for many years. Bartee and Wood [13] used an exhaustive search to find the binary m- sequence, of each possible period up to 214 - 1, which possessed the largest value for the minimum K-tuple weight, D. (5.101) Equivalently by (5.101), Bartee and Wood found the m-sequences {an} which possess the maximum value for fixed lin- ear span L and correlation length K. Table 5.8 displays characteristic polynomials of m-sequences which pos- sess the largest value of D among all m-sequences of linear span L. These polynomials are specified in octal, i.e., the coefficients of the polynomial are the bits in the binary representation of the octal number. The binary repre- sentation of the octal number is determined simply by converting each octal symbol to its equivalent three-bit binary representation. For example, 27405 (octal) = 111 100 000 101 (binary) (5.102) represents 213 + 2 11 + 210 z° 28 + z2 + 1. Leading zeros resulting from the octal to binary conversion may be ignored. Table 5.8 Characteristic polynomials (in octal) of m-sequences with linear span L, having largest value D (in parentheses) of minimum K-tuple weight. The optimum polynomial is not unique. (Abstracted from [13].) (133) (113) (105) (101) 17147 14271 10605 17147 17025 12727 17025 34035 21103 27405 31231 23231 37335 32467 41657 73071 65575 64457 64167 61333 65277 Galois Field Connections Lindholm [14] derived expressions for the first five time-average moments of the partial period correlation values of m-sequences (including those of Property R-6). He noted that only the first two moments were independent of the characteristic polynomial of an m-sequence with specified period. Cooper and Lord [15], following a study of Mattson and Turyn [16],