From 29167a4a18c43491ff459c811b87a6cfc9ecb0e7 Mon Sep 17 00:00:00 2001
From: "Thomas A. Christensen II" <25492070+MillironX@users.noreply.github.com>
Date: Sat, 14 Feb 2026 14:40:31 -0600
Subject: [PATCH 1/3] test: Add more tests for base30 encoding

---
 test/Base30.jl | 3 +++
 1 file changed, 3 insertions(+)

diff --git a/test/Base30.jl b/test/Base30.jl
index 6de61d3..97cd736 100644
--- a/test/Base30.jl
+++ b/test/Base30.jl
@@ -17,5 +17,8 @@ end #@testset
 @testset "base30encode" begin
     @test base30encode(0) == "0"
     @test base30encode(1) == "1"
+    @test base30encode(29) == "Z"
     @test base30encode(30) == "10"
+    @test base30encode(31) == "11"
+    @test base30encode(59) == "1Z"
 end

From b4c60874e1fdc5d4ab743419766153973e348ec8 Mon Sep 17 00:00:00 2001
From: "Thomas A. Christensen II" <25492070+MillironX@users.noreply.github.com>
Date: Sat, 14 Feb 2026 14:41:26 -0600
Subject: [PATCH 2/3] perf: Replace rebase function with call to built-in
 digits function

---
 src/Base30.jl   | 54 +------------------------------------------------
 src/CualerID.jl |  1 -
 test/Base30.jl  | 14 -------------
 3 files changed, 1 insertion(+), 68 deletions(-)

diff --git a/src/Base30.jl b/src/Base30.jl
index be15aa4..9bc673e 100644
--- a/src/Base30.jl
+++ b/src/Base30.jl
@@ -26,53 +26,6 @@ const BASE30_ALPHABET = UInt8.([
     87:90..., #W-Z
 ])
 
-"""
-    rebase(v::Integer, base::Integer)
-
-Rebase `v` into the base system of `base`. `v` can be any integer type, and can
-be represented in base 10 (decimal) or base 16 (hexadecimal) based on Julia's
-treatment of that integer type. Returns a `Vector{UInt8}` containing the
-**indices** of each digit in the rebased number. Since Julia is 1-indexed, this
-means that `rebase(0, base)[1]` actually returns a value of `UInt8[1]`, since
-the first index of a numeral system's alphabet is assumed to be its ``0`` value.
-
-# Examples
-
-```jldoctest
-julia> rebase(0, 10)
-1-element Vector{UInt8}:
- 0x01
-
-julia> # Two plus two is ten... IN BASE FOUR! I'M FINE!
-
-julia> rebase(2 + 2, 4)
-2-element Vector{UInt8}:
- 0x02
- 0x01
-
-julia> base_4_alphabet = ['0', '1', '2', '3'];
-
-julia> String([base_4_alphabet[i] for i in rebase(2 + 2, 4)])
-"10"
-```
-
-!!! warning
-
-    This method is not tested on negative integers and may produce incorrect
-    output when passed negative numbers
-"""
-function rebase(v::Integer, base::Integer)
-    remainder = UInt8((v % base) + 1)
-    quotient = div(v, base)
-
-    if quotient == 0
-        return [remainder]
-    else
-        return [rebase(quotient, base)..., remainder]
-    end #if
-
-end #function
-
 """
     base30encode(v::Integer)
     base30encode(v::UUID)
@@ -91,14 +44,9 @@ julia> base30encode(30)
 julia> using UUIDs; base30encode(uuid1())
 "7ZK00JECBDF2H7GNBXN59C6S9S"
 ```
-
-!!! warning
-
-    Just like [`rebase`](@ref), this method is not tested on negative integers
-    and may produce incorrect output when passed negative numbers
 """
 function base30encode(v::Integer)
-    return String([BASE30_ALPHABET[i] for i in rebase(v, 30)])
+    return String([BASE30_ALPHABET[i] for i in reverse(digits(v; base = 30) .+ 1)])
 end #function
 
 function base30encode(v::UUID)
diff --git a/src/CualerID.jl b/src/CualerID.jl
index 08879b2..d8645f9 100644
--- a/src/CualerID.jl
+++ b/src/CualerID.jl
@@ -14,7 +14,6 @@ export has_duplicate
 export has_fixed
 export has_not_fixable
 export has_valid
-export rebase
 
 function _create_arg_table()
     s = ArgParseSettings(autofix_names = true)
diff --git a/test/Base30.jl b/test/Base30.jl
index 97cd736..f4b120b 100644
--- a/test/Base30.jl
+++ b/test/Base30.jl
@@ -1,19 +1,5 @@
 using CualerID: base30encode, rebase
 
-@testset "rebase" begin
-    @test rebase(0, 10) == UInt8[1]
-    @test rebase(0, 2) == UInt8[1]
-    @test rebase(0, 32) == UInt8[1]
-
-    @test rebase(10, 10) == UInt8[2, 1]
-    @test rebase(2, 2) == UInt8[2, 1]
-    @test rebase(32, 32) == UInt8[2, 1]
-
-    @test rebase(11, 10) == UInt8[2, 2]
-    @test rebase(3, 2) == UInt8[2, 2]
-    @test rebase(33, 32) == UInt8[2, 2]
-end #@testset
-
 @testset "base30encode" begin
     @test base30encode(0) == "0"
     @test base30encode(1) == "1"

From 031dbf06c95a3a0f6f273f05085d8aeac82e6a63 Mon Sep 17 00:00:00 2001
From: "Thomas A. Christensen II" <25492070+MillironX@users.noreply.github.com>
Date: Sat, 14 Feb 2026 14:53:23 -0600
Subject: [PATCH 3/3] feat: Add _hamming function

---
 src/CualerID.jl |  1 +
 src/Minting.jl  | 11 +++++++++++
 2 files changed, 12 insertions(+)
 create mode 100644 src/Minting.jl

diff --git a/src/CualerID.jl b/src/CualerID.jl
index d8645f9..013a135 100644
--- a/src/CualerID.jl
+++ b/src/CualerID.jl
@@ -6,6 +6,7 @@ using UUIDs: UUID
 
 include("Base30.jl")
 include("ResultCodeOption.jl")
+include("Minting.jl")
 
 export ResultCode
 export ResultCodeOption
diff --git a/src/Minting.jl b/src/Minting.jl
new file mode 100644
index 0000000..ede65d3
--- /dev/null
+++ b/src/Minting.jl
@@ -0,0 +1,11 @@
+"""
+    _hamming(str1::AbstractString, str2::AbstractString)
+
+Computes the [Hamming distance](https://en.wikipedia.org/wiki/Hamming_distance) between
+`str1` and `str2`.
+"""
+function _hamming(str1::AbstractString, str2::AbstractString)
+    length(str1) != length(str2) &&
+        throw(DimensionMismatch("strings must be of equal length"))
+    return sum(c -> first(c) != last(c), zip(str1, str2))
+end #function