diff --git a/R/Randompack/build_tarballs.jl b/R/Randompack/build_tarballs.jl
new file mode 100644
index 00000000000..ec2170be6d3
--- /dev/null
+++ b/R/Randompack/build_tarballs.jl
@@ -0,0 +1,113 @@
+# Note that this script can accept some limited command-line arguments, run
+# `julia build_tarballs.jl --help` to see a usage message.
+using BinaryBuilder, Pkg
+
+name = "Randompack"
+version = v"0.1.1"
+
+sources = [
+  ArchiveSource(
+    "https://raw.githubusercontent.com/jonasson2/randompack-src/v0.1.1/randompack-0.1.1.tar.gz",
+    "db3f048ddce772a77cacdf2d23a6bed58db4836b9d60f3dc6d1d910662926294",
+  ),
+]
+    
+script = raw"""
+set -e
+# Work around stray AppleDouble files that can break Python site.py decoding.
+find /usr/lib/python3.9/site-packages -maxdepth 1 -name '._*' -delete \
+  2>/dev/null || true
+
+cd $WORKSPACE/srcdir
+SRC=$WORKSPACE/srcdir/randompack-0.1.1
+# Meson fails to detect the macOS/aarch64 linker in BinaryBuilder;
+# build manually here.
+if echo "$target" | grep -q 'apple-darwin'; then
+  BUILD=$WORKSPACE/build-manual
+  rm -rf $BUILD
+  mkdir -p $BUILD $prefix/lib $prefix/include \
+    $prefix/share/licenses/Randompack
+
+  CDEFS="-D_POSIX_C_SOURCE=200809L -D_DARWIN_C_SOURCE -DLOCAL_DPSTRF -DUSE_ACCEL_VV"
+  if echo "$target" | grep -q '^aarch64-apple-darwin'; then
+    COPTS="-O3 -mcpu=apple-m1 -fPIC -fno-math-errno -fno-trapping-math -fomit-frame-pointer -fno-semantic-interposition"
+  else
+    COPTS="-O3 -fPIC -fno-math-errno -fno-trapping-math -fomit-frame-pointer -fno-semantic-interposition"
+  fi
+
+  AR=${target}-ar
+  RANLIB=${target}-ranlib
+  $FC -O3 -c $SRC/src/lapack_dpstrf.f -o $BUILD/lapack_dpstrf.f.o
+  $CC -std=c11 $COPTS $CDEFS -I$SRC/src -c $SRC/src/printX.c \
+    -o $BUILD/printX.c.o
+  $CC -std=c11 $COPTS $CDEFS -I$SRC/src -c $SRC/src/randompack.c \
+    -o $BUILD/randompack.c.o
+
+  $CC -shared -o $prefix/lib/librandompack.dylib \
+    $BUILD/randompack.c.o $BUILD/printX.c.o $BUILD/lapack_dpstrf.f.o \
+    -framework Accelerate -lm -lgfortran \
+    -Wl,-install_name,@rpath/librandompack.dylib
+
+  $AR rcs $prefix/lib/librandompack.a \
+    $BUILD/randompack.c.o $BUILD/printX.c.o $BUILD/lapack_dpstrf.f.o
+  $RANLIB $prefix/lib/librandompack.a || true
+
+  if [ -f $SRC/src/randompack.h ]; then
+    cp $SRC/src/randompack.h $prefix/include/
+  fi
+  if [ -f $SRC/src/randompack_config.h ]; then
+    cp $SRC/src/randompack_config.h $prefix/include/
+  fi
+  if [ -f $SRC/randompack.h ]; then
+    cp $SRC/randompack.h $prefix/include/
+  fi
+  if [ -f $SRC/randompack_config.h ]; then
+    cp $SRC/randompack_config.h $prefix/include/
+  fi
+
+  cp $SRC/LICENSE $prefix/share/licenses/Randompack/LICENSE
+else
+  cd $WORKSPACE
+  rm -rf build
+
+  export PKG_CONFIG_PATH="${prefix}/lib/pkgconfig:${prefix}/lib64/pkg<config:${prefix}/share/pkgconfig:${PKG_CONFIG_PATH:-}"
+  export CPPFLAGS="-I${prefix}/include ${CPPFLAGS:-}"
+  export LDFLAGS="-L${prefix}/lib -L${prefix}/lib64 ${LDFLAGS:-}"
+    
+  meson setup build $SRC \
+    --cross-file=${MESON_TARGET_TOOLCHAIN} \
+    --buildtype=release \
+    --prefix=${prefix} \
+    -Dblas=openblas \
+    -Dbuild_examples=false \
+    -Dbuild_tests=false \
+    -Dbuild_fortran_interface=false
+  ninja -C build
+  ninja -C build install
+fi
+"""
+
+# These are the platforms we will build for by default, unless further
+# platforms are passed in on the command line
+platforms = [
+  Platform("aarch64", "macos",   libgfortran_version="5.0.0"),
+  Platform("x86_64",  "macos",   libgfortran_version="5.0.0"),
+  Platform("x86_64",  "linux";   libgfortran_version="5.0.0", cxxstring_abi="cxx11"),
+  Platform("aarch64", "linux";   libgfortran_version="5.0.0", cxxstring_abi="cxx11"),
+  Platform("x86_64",  "windows"; libgfortran_version="5.0.0"),
+]
+
+# The products that we will ensure are always built
+products = [
+    LibraryProduct("librandompack", :librandompack)
+]
+
+dependencies = [
+  Dependency(PackageSpec(name="CompilerSupportLibraries_jll",
+                         uuid="e66e0078-7015-5450-92f7-15fbd957f2ae")),
+  Dependency(PackageSpec(name="OpenBLAS32_jll",
+                         uuid="656ef2d0-ae68-5445-9ca0-591084a874a2")),
+]
+		
+# Build the tarballs, and possibly a `build.jl` as well.
+build_tarballs(ARGS, name, version, sources, script, platforms, products, dependencies; julia_compat="1.10")