diff --git a/fs/binfmt_elf.c b/fs/binfmt_elf.c
index 1033fbdfdbec..983ce34115d5 100644
--- a/fs/binfmt_elf.c
+++ b/fs/binfmt_elf.c
@@ -1517,7 +1517,7 @@ static void fill_elf_note_phdr(struct elf_phdr *phdr, int sz, loff_t offset)
 	phdr->p_filesz = sz;
 	phdr->p_memsz = 0;
 	phdr->p_flags = 0;
-	phdr->p_align = 0;
+	phdr->p_align = 4;
 }
 
 static void fill_note(struct memelfnote *note, const char *name, int type,
@@ -1773,7 +1773,7 @@ static int fill_thread_core_info(struct elf_thread_core_info *t,
 	/*
 	 * NT_PRSTATUS is the one special case, because the regset data
 	 * goes into the pr_reg field inside the note contents, rather
-	 * than being the whole note contents.  We fill the reset in here.
+	 * than being the whole note contents.  We fill the regset in here.
 	 * We assume that regset 0 is NT_PRSTATUS.
 	 */
 	fill_prstatus(&t->prstatus.common, t->task, signr);
diff --git a/fs/binfmt_elf_fdpic.c b/fs/binfmt_elf_fdpic.c
index 05a1471d5283..1c6c5832af86 100644
--- a/fs/binfmt_elf_fdpic.c
+++ b/fs/binfmt_elf_fdpic.c
@@ -743,12 +743,12 @@ static int elf_fdpic_map_file(struct elf_fdpic_params *params,
 	struct elf32_fdpic_loadmap *loadmap;
 #ifdef CONFIG_MMU
 	struct elf32_fdpic_loadseg *mseg;
+	unsigned long load_addr;
 #endif
 	struct elf32_fdpic_loadseg *seg;
 	struct elf32_phdr *phdr;
-	unsigned long load_addr, stop;
 	unsigned nloads, tmp;
-	size_t size;
+	unsigned long stop;
 	int loop, ret;
 
 	/* allocate a load map table */
@@ -760,8 +760,7 @@ static int elf_fdpic_map_file(struct elf_fdpic_params *params,
 	if (nloads == 0)
 		return -ELIBBAD;
 
-	size = sizeof(*loadmap) + nloads * sizeof(*seg);
-	loadmap = kzalloc(size, GFP_KERNEL);
+	loadmap = kzalloc(struct_size(loadmap, segs, nloads), GFP_KERNEL);
 	if (!loadmap)
 		return -ENOMEM;
 
@@ -770,9 +769,6 @@ static int elf_fdpic_map_file(struct elf_fdpic_params *params,
 	loadmap->version = ELF32_FDPIC_LOADMAP_VERSION;
 	loadmap->nsegs = nloads;
 
-	load_addr = params->load_addr;
-	seg = loadmap->segs;
-
 	/* map the requested LOADs into the memory space */
 	switch (params->flags & ELF_FDPIC_FLAG_ARRANGEMENT) {
 	case ELF_FDPIC_FLAG_CONSTDISP:
@@ -1269,7 +1265,7 @@ static inline void fill_elf_note_phdr(struct elf_phdr *phdr, int sz, loff_t offs
 	phdr->p_filesz = sz;
 	phdr->p_memsz = 0;
 	phdr->p_flags = 0;
-	phdr->p_align = 0;
+	phdr->p_align = 4;
 	return;
 }
 
diff --git a/fs/proc/vmcore.c b/fs/proc/vmcore.c
index 03f5963914a1..cb80a7703d58 100644
--- a/fs/proc/vmcore.c
+++ b/fs/proc/vmcore.c
@@ -877,7 +877,7 @@ static int __init merge_note_headers_elf64(char *elfptr, size_t *elfsz,
 	phdr.p_offset  = roundup(note_off, PAGE_SIZE);
 	phdr.p_vaddr   = phdr.p_paddr = 0;
 	phdr.p_filesz  = phdr.p_memsz = phdr_sz;
-	phdr.p_align   = 0;
+	phdr.p_align   = 4;
 
 	/* Add merged PT_NOTE program header*/
 	tmp = elfptr + sizeof(Elf64_Ehdr);
@@ -1068,7 +1068,7 @@ static int __init merge_note_headers_elf32(char *elfptr, size_t *elfsz,
 	phdr.p_offset  = roundup(note_off, PAGE_SIZE);
 	phdr.p_vaddr   = phdr.p_paddr = 0;
 	phdr.p_filesz  = phdr.p_memsz = phdr_sz;
-	phdr.p_align   = 0;
+	phdr.p_align   = 4;
 
 	/* Add merged PT_NOTE program header*/
 	tmp = elfptr + sizeof(Elf32_Ehdr);
diff --git a/include/uapi/linux/elf.h b/include/uapi/linux/elf.h
index ac3da855fb19..4d1c8d46e7f0 100644
--- a/include/uapi/linux/elf.h
+++ b/include/uapi/linux/elf.h
@@ -372,7 +372,8 @@ typedef struct elf64_shdr {
  * Notes used in ET_CORE. Architectures export some of the arch register sets
  * using the corresponding note types via the PTRACE_GETREGSET and
  * PTRACE_SETREGSET requests.
- * The note name for all these is "LINUX".
+ * The note name for these types is "LINUX", except NT_PRFPREG that is named
+ * "CORE".
  */
 #define NT_PRSTATUS	1
 #define NT_PRFPREG	2