Re: [8023-10GEPON] [FEC] Golden sequences
Dear all,
It seems that I had a small glitch in one of the sequence searching routines and 0x55 was represented as 10101010 instead of 01010101. The corrected results are as follows:
Hamming distance of 30 (both were identified by Glen as well - Frank, Thank You for pointing out that email - it got misplaced ... )
111011010101101101001001000100101010101110110001000100111000110101
111011010101101101001001001100101010101110010001000100111000110101
Hamming distance of 29
000100100011100100100010110001101100011101101011011001101011101100;
001100101001101110111010111000110011010101000100100010110111000110;
010010010100110111010100110010100101101100010010010101110010010111;
010101110001100011011011100010011010001100100110101100110110010010;
011101010001101000101000101110110101110001010010111001110001001010;
100101110001001010101100010110011100111001101011101000101110011010;
101101010011100110010011010011001100110100011100010001101101001100;
110110001101101100010010010011011010010101100010110100111001100011;
110111010100010110011010100101110010010011011101011000111001000110;
Sorry for the double email.
Best wishes
Marek Hajduczenia (141238)
SIEMENS Networks S.A. - IC COM D1 R
Rua Irmãos Siemens, 1
Ed. 1, Piso 1
Alfragide
2720-093 Amadora
Portugal
* Marek.Hajduczenia@siemens.com
http://marekhaj.easyisp.pl/index.php
(+351.21.416.7472 4+351.21.424.2082
-----Original Message-----
From: Hajduczenia, Marek [mailto:marek.hajduczenia@SIEMENS.COM]
Sent: sexta-feira, 22 de Dezembro de 2006 15:30
To: STDS-802-3-10GEPON@LISTSERV.IEEE.ORG
Subject: [8023-10GEPON] [FEC] Golden sequences
Dear all,
Here is a list of Golden sequences of 66 bits, whhich were tested in the following set up: /66 bit wide 0x55 sequence/ 66 bit wide Golden sequence/ and the Golden sequence was correlated on the 0x55 sequence background. The minimum measured Hamming distance was found to be 29 at max (at least no sequences with the Hamming distance of 30 were identified so far). Here is the list of Golden sequences with sequences with the minimum measured Hamming distance of 29:
001001011100011001101000111001000100101101010111001011011010110101;
001001101110010101011010110011011100100100101010110001101101011010;
001010011101001110001011000110100100010110011100100101100110101101;
001010101001011100010011010001101011100101011101110010101001110001;
001100100011011011011101001010011011100100010101100111000111001000;
001110001011100101110110010110110010110101101001010010001101010101;
001110011000101101010001101101101001001011000111011101001011100011;
011000111011001100110111000110001010010100100110101110001101101100;
011010001101001001011011100011011001010011100110010110100101010101;
011100100010110111000101101011100110110001101110100101000111010001;
011101001010101000110010110111010110010110010001101100010010011011;
100010101101011100111001010101100010101110100011011100010010010010;
100100101001110101011000111000111001000111001001001001110100011011;
100101101110010110011010010110011101100010001010100100011101001011;
100110010101001001100110101011011100011100100100100100100110011101;
101010011100010010110101010010011100101011001011011001000100101011;
101100101011010001101101011001001010011101110110101011100011000100;
101101100010001101001001110100010101101010111010011011000111010101;
110010001000111010010100101011010111010110010100110001110010111010;
110010110100101001000111001010101011011101011101010001001011000110;
111001011010001010010001100101001101110100111011011000111000110101;
111010100011010111000101100110001101100011011011010100101100100100;
The sequences have the run length of 3 with the DC balance 32/34, 33/33 or 34/32.
Best wishes
Marek Hajduczenia (141238)
SIEMENS Networks S.A. - IC COM D1 R
Rua Irmãos Siemens, 1
Ed. 1, Piso 1
Alfragide
2720-093 Amadora
Portugal
* Marek.Hajduczenia@siemens.com
http://marekhaj.easyisp.pl/index.php
(+351.21.416.7472 4+351.21.424.2082