diff --git a/Cargo.lock b/Cargo.lock
index b3a0110..6e2dfae 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -524,7 +524,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "1bfb12502f3fc46cca1bb51ac28df9d618d813cdc3d2f25b9fe775a34af26bb3"
 dependencies = [
  "generic-array",
- "rand_core",
+ "rand_core 0.6.4",
  "typenum",
 ]
 
@@ -727,7 +727,19 @@ checksum = "94b22e06ecb0110981051723910cbf0b5f5e09a2062dd7663334ee79a9d1286c"
 dependencies = [
  "cfg-if",
  "libc",
- "wasi",
+ "wasi 0.11.0+wasi-snapshot-preview1",
+]
+
+[[package]]
+name = "getrandom"
+version = "0.3.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "26145e563e54f2cadc477553f1ec5ee650b00862f0a58bcd12cbdc5f0ea2d2f4"
+dependencies = [
+ "cfg-if",
+ "libc",
+ "r-efi",
+ "wasi 0.14.2+wasi-0.2.4",
 ]
 
 [[package]]
@@ -1126,8 +1138,8 @@ dependencies = [
  "ndarray-rand",
  "proptest",
  "protobuf",
- "rand",
- "rand_chacha",
+ "rand 0.9.1",
+ "rand_chacha 0.3.1",
  "rand_distr",
  "rayon",
  "regex",
@@ -1155,7 +1167,7 @@ dependencies = [
  "itertools 0.12.1",
  "protobuf",
  "protobuf-codegen",
- "rand",
+ "rand 0.8.5",
  "sha2",
  "thiserror 1.0.69",
 ]
@@ -1295,7 +1307,7 @@ checksum = "4569e456d394deccd22ce1c1913e6ea0e54519f577285001215d33557431afe4"
 dependencies = [
  "hermit-abi",
  "libc",
- "wasi",
+ "wasi 0.11.0+wasi-snapshot-preview1",
  "windows-sys 0.52.0",
 ]
 
@@ -1321,7 +1333,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "f093b3db6fd194718dcdeea6bd8c829417deae904e3fcc7732dabcd4416d25d8"
 dependencies = [
  "ndarray",
- "rand",
+ "rand 0.8.5",
  "rand_distr",
 ]
 
@@ -1501,8 +1513,8 @@ dependencies = [
  "bitflags",
  "lazy_static",
  "num-traits",
- "rand",
- "rand_chacha",
+ "rand 0.8.5",
+ "rand_chacha 0.3.1",
  "rand_xorshift",
  "regex-syntax",
  "rusty-fork",
@@ -1593,7 +1605,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "fadfaed2cd7f389d0161bb73eeb07b7b78f8691047a6f3e73caaeae55310a4a6"
 dependencies = [
  "bytes",
- "rand",
+ "rand 0.8.5",
  "ring",
  "rustc-hash",
  "rustls",
@@ -1625,6 +1637,12 @@ dependencies = [
  "proc-macro2",
 ]
 
+[[package]]
+name = "r-efi"
+version = "5.2.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "74765f6d916ee2faa39bc8e68e4f3ed8949b48cccdac59983d287a7cb71ce9c5"
+
 [[package]]
 name = "rand"
 version = "0.8.5"
@@ -1632,8 +1650,18 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "34af8d1a0e25924bc5b7c43c079c942339d8f0a8b57c39049bef581b46327404"
 dependencies = [
  "libc",
- "rand_chacha",
- "rand_core",
+ "rand_chacha 0.3.1",
+ "rand_core 0.6.4",
+]
+
+[[package]]
+name = "rand"
+version = "0.9.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "9fbfd9d094a40bf3ae768db9361049ace4c0e04a4fd6b359518bd7b73a73dd97"
+dependencies = [
+ "rand_chacha 0.9.0",
+ "rand_core 0.9.3",
 ]
 
 [[package]]
@@ -1643,7 +1671,17 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "e6c10a63a0fa32252be49d21e7709d4d4baf8d231c2dbce1eaa8141b9b127d88"
 dependencies = [
  "ppv-lite86",
- "rand_core",
+ "rand_core 0.6.4",
+]
+
+[[package]]
+name = "rand_chacha"
+version = "0.9.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "d3022b5f1df60f26e1ffddd6c66e8aa15de382ae63b3a0c1bfc0e4d3e3f325cb"
+dependencies = [
+ "ppv-lite86",
+ "rand_core 0.9.3",
 ]
 
 [[package]]
@@ -1652,7 +1690,16 @@ version = "0.6.4"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "ec0be4795e2f6a28069bec0b5ff3e2ac9bafc99e6a9a7dc3547996c5c816922c"
 dependencies = [
- "getrandom",
+ "getrandom 0.2.14",
+]
+
+[[package]]
+name = "rand_core"
+version = "0.9.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "99d9a13982dcf210057a8a78572b2217b667c3beacbf3a0d8b454f6f82837d38"
+dependencies = [
+ "getrandom 0.3.3",
 ]
 
 [[package]]
@@ -1662,7 +1709,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "32cb0b9bc82b0a0876c2dd994a7e7a2683d3e7390ca40e6886785ef0c7e3ee31"
 dependencies = [
  "num-traits",
- "rand",
+ "rand 0.8.5",
 ]
 
 [[package]]
@@ -1671,7 +1718,7 @@ version = "0.3.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "d25bf25ec5ae4a3f1b92f929810509a2f53d7dca2f50b794ff57e3face536c8f"
 dependencies = [
- "rand_core",
+ "rand_core 0.6.4",
 ]
 
 [[package]]
@@ -1780,7 +1827,7 @@ checksum = "a4689e6c2294d81e88dc6261c768b63bc4fcdb852be6d1352498b114f61383b7"
 dependencies = [
  "cc",
  "cfg-if",
- "getrandom",
+ "getrandom 0.2.14",
  "libc",
  "untrusted",
  "windows-sys 0.52.0",
@@ -2523,6 +2570,15 @@ version = "0.11.0+wasi-snapshot-preview1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "9c8d87e72b64a3b4db28d11ce29237c246188f4f51057d65a7eab63b7987e423"
 
+[[package]]
+name = "wasi"
+version = "0.14.2+wasi-0.2.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "9683f9a5a998d873c0d21fcbe3c083009670149a8fab228644b8bd36b2c48cb3"
+dependencies = [
+ "wit-bindgen-rt",
+]
+
 [[package]]
 name = "wasm-bindgen"
 version = "0.2.100"
@@ -2832,6 +2888,15 @@ dependencies = [
  "memchr",
 ]
 
+[[package]]
+name = "wit-bindgen-rt"
+version = "0.39.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "6f42320e61fe2cfd34354ecb597f86f413484a798ba44a8ca1165c58d42da6c1"
+dependencies = [
+ "bitflags",
+]
+
 [[package]]
 name = "write16"
 version = "1.0.0"
diff --git a/Cargo.toml b/Cargo.toml
index cf4bb3f..73eeac3 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -49,7 +49,7 @@ itertools = "0.14"
 ndarray = "0.16.0"
 ndarray-rand = "0.15.0"
 protobuf = { version = "3.3", features = ["with-bytes"] }
-rand = "0.8.5"
+rand = "0.9.1"
 rand_chacha = "0.3.1"
 rand_distr = "0.4.3"
 rayon = "1.10.0"