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diff --git a/src/mux/muxread.c b/src/mux/muxread.c
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index 0b55286..eb5070b 100644
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--- a/src/mux/muxread.c
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+++ b/src/mux/muxread.c
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@@ -187,7 +187,7 @@
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   size = bitstream->size;
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   if (data == NULL) return NULL;
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-  if (size < RIFF_HEADER_SIZE) return NULL;
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+  if (size < RIFF_HEADER_SIZE + CHUNK_HEADER_SIZE) return NULL;
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   if (GetLE32(data + 0) != MKFOURCC('R', 'I', 'F', 'F') ||
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       GetLE32(data + CHUNK_HEADER_SIZE) != MKFOURCC('W', 'E', 'B', 'P')) {
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     return NULL;
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@@ -196,8 +196,6 @@
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   mux = WebPMuxNew();
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   if (mux == NULL) return NULL;
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-  if (size < RIFF_HEADER_SIZE + TAG_SIZE) goto Err;
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-
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   tag = GetLE32(data + RIFF_HEADER_SIZE);
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   if (tag != kChunks[IDX_VP8].tag &&
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       tag != kChunks[IDX_VP8L].tag &&
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@@ -206,12 +204,11 @@
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   }
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   riff_size = SizeWithPadding(GetLE32(data + TAG_SIZE));
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-  if (riff_size > MAX_CHUNK_PAYLOAD || riff_size > size) {
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-    goto Err;
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-  } else {
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-    if (riff_size < size) {  // Redundant data after last chunk.
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-      size = riff_size;  // To make sure we don't read any data beyond mux_size.
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-    }
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+  if (riff_size < CHUNK_HEADER_SIZE) goto Err;
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+  if (riff_size > MAX_CHUNK_PAYLOAD || riff_size > size) goto Err;
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+  // There's no point in reading past the end of the RIFF chunk.
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+  if (size > riff_size + CHUNK_HEADER_SIZE) {
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+    size = riff_size + CHUNK_HEADER_SIZE;
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   }
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   end = data + size;
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