diff --git a/hfst-sse.diff b/hfst-sse.diff
new file mode 100644
index 0000000..441824e
--- /dev/null
+++ b/hfst-sse.diff
@@ -0,0 +1,18 @@
+---
+ configure.ac |    3 ---
+ 1 file changed, 3 deletions(-)
+
+Index: hfst-3.16.0/configure.ac
+===================================================================
+--- hfst-3.16.0.orig/configure.ac
++++ hfst-3.16.0/configure.ac
+@@ -661,9 +661,6 @@ AC_LANG_PUSH([C++])
+ AM_COND_IF([WANT_OPENFST_UPSTREAM], [CXXFLAGS="$CXXFLAGS -std=c++17"], [CXXFLAGS="$CXXFLAGS -std=c++14"])
+ 
+ # On 32bit x86, we need to use SSE for precise floating point arithmetics in OpenFST
+-AX_CHECK_COMPILE_FLAG([-msse], [CXXFLAGS="$CXXFLAGS -msse"], [])
+-AX_CHECK_COMPILE_FLAG([-msse2], [CXXFLAGS="$CXXFLAGS -msse2"], [])
+-AX_CHECK_COMPILE_FLAG([-mfpmath=sse], [CXXFLAGS="$CXXFLAGS -mfpmath=sse"], [])
+ 
+ AC_CHECK_HEADERS([ext/slist])
+ 
diff --git a/hfst.changes b/hfst.changes
index 690bc65..73c463d 100644
--- a/hfst.changes
+++ b/hfst.changes
@@ -1,3 +1,12 @@
+-------------------------------------------------------------------
+Thu Feb 10 16:43:01 UTC 2022 - Jan Engelhardt <jengelh@inai.de>
+
+- Update to release 3.16
+  * hfst-pmatch archives now no longer include or parse redundant alphabets,
+    which in some cases can be a meaningful size and speed saving.
+  * C++14 is the minimal requirement.
+  * Drop legacy wrappers for foma and lexc.
+
 -------------------------------------------------------------------
 Thu May 27 10:02:31 UTC 2021 - Jan Engelhardt <jengelh@inai.de>
 
diff --git a/hfst.spec b/hfst.spec
index d477855..b3fc284 100644
--- a/hfst.spec
+++ b/hfst.spec
@@ -1,7 +1,7 @@
 #
 # spec file for package hfst
 #
-# Copyright (c) 2021 SUSE LLC
+# Copyright (c) 2022 SUSE LLC
 #
 # All modifications and additions to the file contributed by third parties
 # remain the property of their copyright owners, unless otherwise agreed
@@ -17,7 +17,7 @@
 
 
 Name:           hfst
-Version:        3.15.5
+Version:        3.16.0
 Release:        0
 Summary:        Helsinki Finite-State Transducer Technology
 License:        Apache-2.0 AND GPL-2.0-only AND GPL-2.0-or-later AND GPL-3.0-only AND GPL-3.0-or-later AND GPL-3.0-only
@@ -25,7 +25,8 @@ Group:          Development/Tools/Other
 URL:            https://hfst.github.io/
 
 Source:         https://github.com/hfst/hfst/archive/refs/tags/v%version.tar.gz
-Patch4:         hfst-nodate.diff
+Patch1:         hfst-nodate.diff
+Patch2:         hfst-sse.diff
 BuildRequires:  autoconf
 BuildRequires:  automake
 BuildRequires:  bison
@@ -39,7 +40,8 @@ BuildRequires:  ncurses-devel
 BuildRequires:  pkg-config
 BuildRequires:  python3-base
 BuildRequires:  readline-devel
-BuildRequires:  pkgconfig(glib-2.0)
+#BuildRequires:  pkgconfig(glib-2.0)
+BuildRequires:  pkgconfig(icu-uc) >= 50
 BuildRequires:  pkgconfig(libxml-2.0)
 BuildRequires:  pkgconfig(zlib)
 Requires:       grep
@@ -50,23 +52,12 @@ The Helsinki Finite-State Transducer software is intended for the
 implementation of morphological analyzers and other tools which are
 based on weighted and unweighted finite-state transducer technology.
 
-%package -n libfoma-hfst0
-Summary:        Multi-purpose finite-state toolkit
-License:        GPL-2.0-only
-Group:          System/Libraries
-
-%description -n libfoma-hfst0
-Foma is a multi-purpose finite-state toolkit designed for
-applications ranging from natural language processing and research in
-automata theory. It should be upwardly compatible with Xerox xfst and
-lexc, with the exception of binary file reading and writing.
-
-%package -n libhfst54
+%package -n libhfst55
 Summary:        Helsinki Finite-State Transducer Technology Libraries
 License:        GPL-3.0-only
 Group:          System/Libraries
 
-%description -n libhfst54
+%description -n libhfst55
 The Helsinki Finite-State Transducer software is intended for the
 implementation of morphological analyzers and other tools which are
 based on weighted and unweighted finite-state transducer technology.
@@ -75,7 +66,7 @@ based on weighted and unweighted finite-state transducer technology.
 Summary:        Development files for the Helsinki Finite-State Transducer
 License:        GPL-3.0-only
 Group:          Development/Libraries/C and C++
-Requires:       libhfst54 = %version
+Requires:       libhfst55 = %version
 
 %description devel
 The Helsinki Finite-State Transducer software is intended for the
@@ -90,7 +81,7 @@ want to make use of the HFST library.
 
 %build
 autoreconf -fiv
-%configure --disable-static --with-unicode-handler=glib --with-readline \
+%configure --disable-static --with-readline \
 	--enable-all-tools --includedir="%_includedir/%name" \
 	--with-foma-upstream
 %make_build
@@ -105,10 +96,8 @@ rm -fv "%buildroot/%_libdir/"{libfoma,libfst,libsfst}.so
 %check
 %make_build check -j1
 
-%post   -n libfoma-hfst0 -p /sbin/ldconfig
-%postun -n libfoma-hfst0 -p /sbin/ldconfig
-%post   -n libhfst54 -p /sbin/ldconfig
-%postun -n libhfst54 -p /sbin/ldconfig
+%post   -n libhfst55 -p /sbin/ldconfig
+%postun -n libhfst55 -p /sbin/ldconfig
 
 %files
 %_bindir/hfst*
@@ -116,8 +105,8 @@ rm -fv "%buildroot/%_libdir/"{libfoma,libfst,libsfst}.so
 %doc NEWS README
 %license COPYING
 
-%files -n libhfst54
-%_libdir/libhfst.so.54*
+%files -n libhfst55
+%_libdir/libhfst.so.55*
 
 %files devel
 %_includedir/*
diff --git a/v3.15.5.tar.gz b/v3.15.5.tar.gz
deleted file mode 100644
index 9f48189..0000000
--- a/v3.15.5.tar.gz
+++ /dev/null
@@ -1,3 +0,0 @@
-version https://git-lfs.github.com/spec/v1
-oid sha256:025332ab3717771b1d0849babf4bd9bd368b5395e441a557cfc9b5d52f88f2ec
-size 23958294
diff --git a/v3.16.0.tar.gz b/v3.16.0.tar.gz
new file mode 100644
index 0000000..792182d
--- /dev/null
+++ b/v3.16.0.tar.gz
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba8b29226189183414dd0da30b2267a917b483e8da60966b36ff956bd8eba2fd
+size 23948916