diff --git a/packages/obsidian-plugin/src/features/mcp-server-install/constants/constants.test.ts b/packages/obsidian-plugin/src/features/mcp-server-install/constants/constants.test.ts
new file mode 100644
index 0000000..a4a3120
--- /dev/null
+++ b/packages/obsidian-plugin/src/features/mcp-server-install/constants/constants.test.ts
@@ -0,0 +1,172 @@
+import { describe, expect, test } from "bun:test";
+
+/**
+ * Tests for MCP server installation constants
+ * Issue #31: Fix Linux Claude Desktop config path
+ *
+ * Note: We replicate the constants here instead of importing to avoid
+ * macro execution issues in the test environment
+ */
+
+// Replicate constants from index.ts
+const CLAUDE_CONFIG_PATH = {
+  macos: "~/Library/Application Support/Claude/claude_desktop_config.json",
+  windows: "%APPDATA%\\Claude\\claude_desktop_config.json",
+  linux: "~/.config/Claude/claude_desktop_config.json",
+} as const;
+
+const LOG_PATH = {
+  macos: "~/Library/Logs/obsidian-mcp-tools",
+  windows: "%APPDATA%\\obsidian-mcp-tools\\logs",
+  linux: "~/.local/share/obsidian-mcp-tools/logs",
+} as const;
+
+const BINARY_NAME = {
+  windows: "mcp-server.exe",
+  macos: "mcp-server",
+  linux: "mcp-server",
+} as const;
+
+describe("CLAUDE_CONFIG_PATH constants", () => {
+  test("macOS path uses Library/Application Support", () => {
+    expect(CLAUDE_CONFIG_PATH.macos).toBe(
+      "~/Library/Application Support/Claude/claude_desktop_config.json",
+    );
+  });
+
+  test("Windows path uses APPDATA with backslashes", () => {
+    expect(CLAUDE_CONFIG_PATH.windows).toBe(
+      "%APPDATA%\\Claude\\claude_desktop_config.json",
+    );
+  });
+
+  test("Linux path uses .config with capital C in Claude", () => {
+    // Issue #31: The path should be ~/.config/Claude (not ~/.config/claude)
+    expect(CLAUDE_CONFIG_PATH.linux).toBe(
+      "~/.config/Claude/claude_desktop_config.json",
+    );
+  });
+
+  test("all paths use claude_desktop_config.json filename", () => {
+    expect(CLAUDE_CONFIG_PATH.macos).toEndWith("claude_desktop_config.json");
+    expect(CLAUDE_CONFIG_PATH.windows).toEndWith("claude_desktop_config.json");
+    expect(CLAUDE_CONFIG_PATH.linux).toEndWith("claude_desktop_config.json");
+  });
+
+  test("macOS path starts with tilde for home directory", () => {
+    expect(CLAUDE_CONFIG_PATH.macos).toStartWith("~");
+  });
+
+  test("Linux path starts with tilde for home directory", () => {
+    expect(CLAUDE_CONFIG_PATH.linux).toStartWith("~");
+  });
+
+  test("Windows path uses APPDATA environment variable", () => {
+    expect(CLAUDE_CONFIG_PATH.windows).toStartWith("%APPDATA%");
+  });
+
+  test("paths contain Claude directory with consistent casing", () => {
+    // All paths should contain "Claude" with capital C
+    expect(CLAUDE_CONFIG_PATH.macos).toContain("/Claude/");
+    expect(CLAUDE_CONFIG_PATH.windows).toContain("\\Claude\\");
+    expect(CLAUDE_CONFIG_PATH.linux).toContain("/Claude/");
+  });
+});
+
+describe("LOG_PATH constants", () => {
+  test("macOS log path uses Library/Logs", () => {
+    expect(LOG_PATH.macos).toBe("~/Library/Logs/obsidian-mcp-tools");
+  });
+
+  test("Windows log path uses APPDATA", () => {
+    expect(LOG_PATH.windows).toBe("%APPDATA%\\obsidian-mcp-tools\\logs");
+  });
+
+  test("Linux log path uses .local/share", () => {
+    expect(LOG_PATH.linux).toBe("~/.local/share/obsidian-mcp-tools/logs");
+  });
+
+  test("all paths contain obsidian-mcp-tools directory", () => {
+    expect(LOG_PATH.macos).toContain("obsidian-mcp-tools");
+    expect(LOG_PATH.windows).toContain("obsidian-mcp-tools");
+    expect(LOG_PATH.linux).toContain("obsidian-mcp-tools");
+  });
+
+  test("macOS and Linux use forward slashes", () => {
+    expect(LOG_PATH.macos).toContain("/");
+    expect(LOG_PATH.linux).toContain("/");
+    expect(LOG_PATH.macos).not.toContain("\\");
+    expect(LOG_PATH.linux).not.toContain("\\");
+  });
+
+  test("Windows uses backslashes", () => {
+    expect(LOG_PATH.windows).toContain("\\");
+    expect(LOG_PATH.windows).not.toContain("/");
+  });
+});
+
+describe("BINARY_NAME constants", () => {
+  test("Windows binary has .exe extension", () => {
+    expect(BINARY_NAME.windows).toBe("mcp-server.exe");
+  });
+
+  test("macOS binary has no extension", () => {
+    expect(BINARY_NAME.macos).toBe("mcp-server");
+    expect(BINARY_NAME.macos).not.toContain(".");
+  });
+
+  test("Linux binary has no extension", () => {
+    expect(BINARY_NAME.linux).toBe("mcp-server");
+    expect(BINARY_NAME.linux).not.toContain(".");
+  });
+
+  test("all binaries are named mcp-server", () => {
+    expect(BINARY_NAME.windows).toStartWith("mcp-server");
+    expect(BINARY_NAME.macos).toBe("mcp-server");
+    expect(BINARY_NAME.linux).toBe("mcp-server");
+  });
+});
+
+describe("Platform-specific path conventions", () => {
+  test("macOS follows Apple directory conventions", () => {
+    // macOS uses ~/Library for user-specific application support
+    expect(CLAUDE_CONFIG_PATH.macos).toContain("~/Library/");
+    expect(LOG_PATH.macos).toContain("~/Library/Logs/");
+  });
+
+  test("Linux follows XDG Base Directory specification", () => {
+    // Linux typically uses ~/.config for configuration and ~/.local/share for data
+    expect(CLAUDE_CONFIG_PATH.linux).toContain("~/.config/");
+    expect(LOG_PATH.linux).toContain("~/.local/share/");
+  });
+
+  test("Windows follows Windows conventions", () => {
+    // Windows uses APPDATA for application data
+    expect(CLAUDE_CONFIG_PATH.windows).toContain("%APPDATA%\\");
+    expect(LOG_PATH.windows).toContain("%APPDATA%\\");
+  });
+});
+
+describe("Path consistency for cross-platform support", () => {
+  test("all config paths end with .json", () => {
+    expect(CLAUDE_CONFIG_PATH.macos).toEndWith(".json");
+    expect(CLAUDE_CONFIG_PATH.windows).toEndWith(".json");
+    expect(CLAUDE_CONFIG_PATH.linux).toEndWith(".json");
+  });
+
+  test("all platforms have config and log paths defined", () => {
+    expect(CLAUDE_CONFIG_PATH.macos).toBeDefined();
+    expect(CLAUDE_CONFIG_PATH.windows).toBeDefined();
+    expect(CLAUDE_CONFIG_PATH.linux).toBeDefined();
+
+    expect(LOG_PATH.macos).toBeDefined();
+    expect(LOG_PATH.windows).toBeDefined();
+    expect(LOG_PATH.linux).toBeDefined();
+  });
+
+  test("all platforms have binary names defined", () => {
+    expect(BINARY_NAME.macos).toBeDefined();
+    expect(BINARY_NAME.windows).toBeDefined();
+    expect(BINARY_NAME.linux).toBeDefined();
+  });
+});
diff --git a/packages/obsidian-plugin/src/features/mcp-server-install/constants/index.ts b/packages/obsidian-plugin/src/features/mcp-server-install/constants/index.ts
index 5f27f5c..7911b76 100644
--- a/packages/obsidian-plugin/src/features/mcp-server-install/constants/index.ts
+++ b/packages/obsidian-plugin/src/features/mcp-server-install/constants/index.ts
@@ -12,7 +12,7 @@ export const BINARY_NAME = {
 export const CLAUDE_CONFIG_PATH = {
   macos: "~/Library/Application Support/Claude/claude_desktop_config.json",
   windows: "%APPDATA%\\Claude\\claude_desktop_config.json",
-  linux: "~/.config/claude/config.json",
+  linux: "~/.config/Claude/claude_desktop_config.json",
 } as const;
 
 export const LOG_PATH = {