diff --git a/doc/src/sgml/func.sgml b/doc/src/sgml/func.sgml
index 0a5c402640..7492454592 100644
--- a/doc/src/sgml/func.sgml
+++ b/doc/src/sgml/func.sgml
@@ -1832,10 +1832,11 @@ repeat('Pg', 4) <returnvalue>PgPgPgPg</returnvalue>
    </table>
 
   <para>
-   The <function>random()</function> function uses a simple linear
-   congruential algorithm.  It is fast but not suitable for cryptographic
-   applications; see the <xref linkend="pgcrypto"/> module for a more
-   secure alternative.
+   The <function>random()</function> function uses
+   <ulink url="https://en.wikipedia.org/wiki/Xoroshiro128%2B">xoroshiro128**</ulink>, a
+   linear feedback shift register algorithm.
+   It is fast but not suitable for cryptographic applications;
+   see the <xref linkend="pgcrypto"/> module for a more secure alternative.
    If <function>setseed()</function> is called, the series of results of
    subsequent <function>random()</function> calls in the current session
    can be repeated by re-issuing <function>setseed()</function> with the same