diff --git a/pypdf/_codecs/_codecs.py b/pypdf/_codecs/_codecs.py
index ce2659548..9153ee085 100644
--- a/pypdf/_codecs/_codecs.py
+++ b/pypdf/_codecs/_codecs.py
@@ -45,17 +45,23 @@ class LzwCodec(Codec):
     INITIAL_BITS_PER_CODE = 9  # Initial code bit width
     MAX_BITS_PER_CODE = 12  # Maximum code bit width
 
-    def __init__(self) -> None:
-        """Initialize codec and reset the compression table."""
-        self.clear_table()
-
-    def clear_table(self) -> None:
-        """Reset the encoding table and coding state to initial conditions."""
+    def _initialize_encoding_table(self) -> None:
+        """Initialize the encoding table and state to initial conditions."""
         self.table: Dict[bytes, int] = {bytes([i]): i for i in range(256)}
         self.next_code = self.EOD_MARKER + 1
         self.bits_per_code = self.INITIAL_BITS_PER_CODE
         self.max_code_value = (1 << self.bits_per_code) - 1
 
+    def _increase_next_code(self) -> None:
+        """Update bits_per_code and max_code_value if necessary."""
+        self.next_code += 1
+        if (
+            self.next_code > self.max_code_value
+            and self.bits_per_code < self.MAX_BITS_PER_CODE
+        ):
+            self.bits_per_code += 1
+            self.max_code_value = (1 << self.bits_per_code) - 1
+
     def encode(self, data: bytes) -> bytes:
         """
         Encode data using the LZW compression algorithm.
@@ -66,7 +72,7 @@ def encode(self, data: bytes) -> bytes:
 
         # The encoder shall begin by issuing a clear-table code
         result_codes.append(self.CLEAR_TABLE_MARKER)
-        self.clear_table()
+        self._initialize_encoding_table()
 
         current_sequence = b""
         for byte in data:
@@ -82,18 +88,11 @@ def encode(self, data: bytes) -> bytes:
                 # Add the new sequence to the table if there's room
                 if self.next_code <= (1 << self.MAX_BITS_PER_CODE) - 1:
                     self.table[next_sequence] = self.next_code
-                    self.next_code += 1
-                    # Increase bits_per_code if necessary
-                    if (
-                        self.next_code > self.max_code_value
-                        and self.bits_per_code < self.MAX_BITS_PER_CODE
-                    ):
-                        self.bits_per_code += 1
-                        self.max_code_value = (1 << self.bits_per_code) - 1
+                    self._increase_next_code()
                 else:
                     # If the table is full, emit a clear-table command
                     result_codes.append(self.CLEAR_TABLE_MARKER)
-                    self.clear_table()
+                    self._initialize_encoding_table()
 
                 # Start new sequence
                 current_sequence = bytes([byte])
@@ -101,18 +100,16 @@ def encode(self, data: bytes) -> bytes:
         # Ensure everything actually is encoded
         if current_sequence:
             result_codes.append(self.table[current_sequence])
-
         result_codes.append(self.EOD_MARKER)
 
-        return self.pack_codes_into_bytes(result_codes)
+        return self._pack_codes_into_bytes(result_codes)
 
-    def pack_codes_into_bytes(self, codes: List[int]) -> bytes:
+    def _pack_codes_into_bytes(self, codes: List[int]) -> bytes:
         """
         Convert the list of result codes into a continuous byte stream, with codes packed as per the code bit-width.
         The bit-width starts at 9 bits and expands as needed.
         """
-        # Reset coding state
-        self.clear_table()
+        self._initialize_encoding_table()
         buffer = 0
         bits_in_buffer = 0
         output = bytearray()
@@ -128,22 +125,12 @@ def pack_codes_into_bytes(self, codes: List[int]) -> bytes:
                 bits_in_buffer -= 8
                 output.append((buffer >> bits_in_buffer) & 0xFF)
 
-            # After a clear-table marker, reset coding state
             if code == self.CLEAR_TABLE_MARKER:
-                self.clear_table()
+                self._initialize_encoding_table()
             elif code == self.EOD_MARKER:
-                # Do not increment next_code for EOD_MARKER
-                pass
+                continue
             else:
-                # Increase next_code after processing each code (except special codes)
-                self.next_code += 1
-                # Increase bits_per_code if necessary
-                if (
-                    self.next_code > self.max_code_value
-                    and self.bits_per_code < self.MAX_BITS_PER_CODE
-                ):
-                    self.bits_per_code += 1
-                    self.max_code_value = (1 << self.bits_per_code) - 1
+                self._increase_next_code()
 
         # Flush any remaining bits in the buffer
         if bits_in_buffer > 0: