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A Theorem on the Distribution of Weights in a Systematic Code. - [MACWILLIAMS IDENTITIES]
New York, American Telephone and Telegraph Company, 1963. 8vo. Volume XLII, January, Number 1, 1963 of ""The Bell System Technical Journal"". In the original printed blue wrapper. Previous owner's stamp to front wrapper. Spine slightly discoulered and lower right corner slightly bumped. A nice and clean copy. Pp. 79-94. [Entire issue: 206 pp].
First publication of MacWilliams Identities, or the MacWilliams Equation, which became the starting point for a considerable amount of research in coding theory and cryptology by the Bell System. MacWilliams Identities are essentially a set of linear relations of weight distribution which specifies the number of words of each possible Hamming weight. The development of the MacWilliams Identities had profound influence in practical as well as theoretical cryptology. ""Another major theoretical advance was F. J. MacWilliams's discovery in the 1962 [the present paper, published in January 1963] of a set of fundamental equations [now called the MacWilliams Identities] that any linear code must satisfy. These identities were the starting point for a considerable amount of research by MacWilliams, C. L. Mallows, N. J. A. Sloane, and others"". (Millman, A History of Engineering & Science in the Bell System, 1984, p. 54).""MacWilliams (1917-1990) was a mathematician who contributed to the field of coding theory. She was born in Stoke-on-Trent, England and studied at the University of Cambridge, receiving her BA in 1938 and her MA in the following year. She spent most of her career at Bell Labs, where she worked on error-correcting codes and co-wrote The Theory of Error-Correcting Code with Neil Sloane."" (Codings: Webster's Quotations, 42 p.)The issue contains the following papers:1. Beach, C.D." Trecker, J.M. A Method for Predicting Interchannel Modulation due to Multipath Propagation in FM and PM Tropospheric Radio Systems. Pp. 1-36.2. Bodtmann, W.F. Ruthroff, C.L. A Wideband Transistor IF Amplifier for Space and Terrestrial Repeaters Using Grounded-Base Transformer-Coupled Stages. Pp. 37-54.3. Coyne, J.C. Monitoring the Percussive Welding Process for Attaching Wires to Terminals. Pp. 55-78.4. MacWilliams, Jessie. A Theorem on the Distribution of Weights in a Systematic Code. Pp. 79-94.5. Peck, D.S. Blair, R.R. Brown, W.L. Smits, F.M. Surface Effects of Radiation on Transistors. Pp. 95-129.6. Graff, H.J. Peacock, J.M. Zalmans, J.J. Development of Solderless Wire Connector for Splicing Multipair Cable. Pp. 131-153.7. Gordon, E.I. Rigden, J.D. The Fabry-Perot Electrooptic Modulator. Pp. 155-179.8. Pfahnl, Arnold. Properties of Fast-Decay Cathode-Ray Tube Phosphors. Pp. 181-201.
Permutation Decoding of Systematic Codes. - [FIRST PUBLICATION OF PERMUTATION DECODING]
New York, American Telephone and Telegraph Company, 1964. 8vo. Volume XLIII (63), January, Number 1, part 2, 1964 of ""The Bell System Technical Journal"". In the original blue printed wrappers. Previous owner's stamps to front wrapper. A part from minor light spotting to front wrapper, a very nice and clean copy. Pp. 485-505. [Entire issue: Pp. 339-563].
First publication of MacWilliam's important paper on permutation decoding.""MacWilliams (1917-1990) was a mathematician who contributed to the field of coding theory. She was born in Stoke-on-Trent, England and studied at the University of Cambridge, receiving her BA in 1938 and her MA in the following year. She spent most of her career at Bell Labs, where she worked on error-correcting codes and co-wrote 'The Theory of Error-Correcting Code with Neil Sloane'."" (Codings: Webster's Quotations, 42 p.)The issue contains the following papers.1. Darlington, Sidney. Demodulation of Wideband, Low-Power FM Signals. Pp. 339-374.2. Froehlich, F.E." Anderson, R.R. Data Transmission over a Self-Contained Error Detection and Retransmission Channel. Pp. 375-398.3. Sunde, E.D. Intermodulation Distortion in Analog FM Troposcatter Systems. Pp. 399-435.4. Harris, S.E. DeGrasse, R.W. Schulz-Dubois, E.O. Cutoff Frequencies of the Dielectrically Loaded Comb Structure as Used in Traveling-Wave Masers. Pp. 437-484.5. MacWilliams, Jessie. Permutation Decoding of Systematic Codes. Pp. 485-505.6. Gordon, Eugene I. Optical Maser Oscillators and Noise. Pp. 507-539.7. Wood, Elizabeth A. The 80 Diperiodic Groups in Three Dimensions. Pp. 541-559.
Permutation Decoding of Systematic Codes. - [FIRST PUBLICATION OF PERMUTATION DECODING]
New York, American Telephone and Telegraph Company, 1964. 8vo. Original full green cloth. The entire volume 43, nr. I of ""The Bell System Technical Journal"". Library stamp to title-page. Minor bumping to extremities. A nice and clean copy. Pp: 485-505. [Entire volume: pp. 17, (3), 820 pp].
First publication of MacWilliam's important paper on permutation decoding.""MacWilliams (1917-1990) was a mathematician who contributed to the field of coding theory. She was born in Stoke-on-Trent, England and studied at the University of Cambridge, receiving her BA in 1938 and her MA in the following year. She spent most of her career at Bell Labs, where she worked on error-correcting codes and co-wrote The Theory of Error-Correcting Code with Neil Sloane."" (Codings: Webster's Quotations, 42 p.)
