diff --git a/arch/arm64/Makefile b/arch/arm64/Makefile
index 57833546bf003b5f8ffe5e70fb65c10c8dd1ef55..2df5e5daeebeaca04dc9c9948556b75eb21ffe78 100644
--- a/arch/arm64/Makefile
+++ b/arch/arm64/Makefile
@@ -39,7 +39,7 @@ head-y		:= arch/arm64/kernel/head.o
 
 # The byte offset of the kernel image in RAM from the start of RAM.
 ifeq ($(CONFIG_ARM64_RANDOMIZE_TEXT_OFFSET), y)
-TEXT_OFFSET := $(shell awk 'BEGIN {srand(); printf "0x%04x0\n", int(65535 * rand())}')
+TEXT_OFFSET := $(shell awk 'BEGIN {srand(); printf "0x%03x000\n", int(512 * rand())}')
 else
 TEXT_OFFSET := 0x00080000
 endif
diff --git a/arch/arm64/kernel/head.S b/arch/arm64/kernel/head.S
index 144f10567f82eaa3a6c9a428e3461e08ed911253..bed028364a93235006b467c20daeb8725b9a4615 100644
--- a/arch/arm64/kernel/head.S
+++ b/arch/arm64/kernel/head.S
@@ -38,11 +38,11 @@
 
 #define KERNEL_RAM_VADDR	(PAGE_OFFSET + TEXT_OFFSET)
 
-#if (TEXT_OFFSET & 0xf) != 0
-#error TEXT_OFFSET must be at least 16B aligned
-#elif (PAGE_OFFSET & 0xfffff) != 0
+#if (TEXT_OFFSET & 0xfff) != 0
+#error TEXT_OFFSET must be at least 4KB aligned
+#elif (PAGE_OFFSET & 0x1fffff) != 0
 #error PAGE_OFFSET must be at least 2MB aligned
-#elif TEXT_OFFSET > 0xfffff
+#elif TEXT_OFFSET > 0x1fffff
 #error TEXT_OFFSET must be less than 2MB
 #endif