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Fixed Golay matrices display

pull/170/head
Wojciech Kaczmarski 2025-10-09 18:11:51 +03:00
parent 68525a5a0d
commit c31d14a1a2
1 changed files with 11 additions and 6 deletions
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M17_spec.tex
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@ -112,6 +112,7 @@ draw=black]
\vhEntry{2.0.0}{12 Aug 2025}{N7TAE|N7ADJ|SP5WWP}{GNSS Meta data changed extensively. Values are now metric, and a new param related to HDOP was added.}
\vhEntry{2.0.1}{23 Sep 2025}{K6OF}{Implement CCSDS A20.0-Y-4 style guide and clarify use of UTC.}
\vhEntry{2.0.2}{28 Sep 2025}{K0RET}{Fixed misspellings.}
\vhEntry{2.0.3}{09 Oct 2025}{SP5WWP}{Fixed Golay matrices display.}
\end{versionhistory}
\chapter{Licenses}
@ -1874,9 +1875,11 @@ $g(x) = x^{11} + x^{10} + x^6 + x^5 + x^4 + x^2 + 1$
This is equivalent to \texttt{0xC75} in hexadecimal notation. Both the generating matrix $G$ and parity check matrix $H$ are shown below.
\begin{align}
G = [I_{12}|P] = \left[
\begin{array}{cr}
I_{12} \begin{matrix}
G = [I_{12} \mid P] = \left[
\begin{array}{c|c}
I_{12}
&
\begin{matrix}
1&1&0&0&0&1&1&1&0&1&0&1 \\
0&1&1&0&0&0&1&1&1&0&1&1 \\
1&1&1&1&0&1&1&0&1&0&0&0 \\
@ -1894,8 +1897,8 @@ This is equivalent to \texttt{0xC75} in hexadecimal notation. Both the generatin
\right]
\end{align}
\begin{align}
H = [P^T|I_{12}] = \left[
\begin{array}{cr}
H = [P^T \mid I_{12}] = \left[
\begin{array}{c|c}
\begin{matrix}
1&0&1&0&0&1&0&0&1&1&1&1 \\
1&1&1&1&0&1&1&0&1&0&0&0 \\
@ -1909,7 +1912,9 @@ This is equivalent to \texttt{0xC75} in hexadecimal notation. Both the generatin
1&0&0&1&0&0&1&1&1&1&1&0 \\
0&1&0&0&1&0&0&1&1&1&1&1 \\
1&1&0&0&0&1&1&1&0&1&0&1
\end{matrix} I_{12}
\end{matrix}
&
I_{12}
\end{array}
\right]
\end{align}