Android dex da una excepción BufferOverflowException al construir

Al compilar un proyecto específico de Android, y solo en mi máquina Windows, obtengo un java.nio.BufferOverflowException durante desde dex. El problema ocurre tanto cuando se usa Eclipse como cuando se usa Ant.

La salida cuando se usa Ant es:

...
  [dex] Pre-Dexing C:\MyProject\libs\android-support-v4.jar -> android-support-v4-5f5341d3c1b10a79d7d93f9c1e64421e.jar
  [dex] Converting compiled files and external libraries into C:\MyProject\bin\classes.dex...
   [dx]
   [dx] UNEXPECTED TOP-LEVEL EXCEPTION:
   [dx] java.nio.BufferOverflowException
   [dx]     at java.nio.Buffer.nextPutIndex(Buffer.java:499)
   [dx]     at java.nio.HeapByteBuffer.putShort(HeapByteBuffer.java:296)
   [dx]     at com.android.dex.Dex$Section.writeShort(Dex.java:818)
   [dx]     at com.android.dex.Dex$Section.writeTypeList(Dex.java:870)
   [dx]     at com.android.dx.merge.DexMerger$3.write(DexMerger.java:437)
   [dx]     at com.android.dx.merge.DexMerger$3.write(DexMerger.java:423)
   [dx]     at com.android.dx.merge.DexMerger$IdMerger.mergeUnsorted(DexMerger.java:317)
   [dx]     at com.android.dx.merge.DexMerger.mergeTypeLists(DexMerger.java:423)
   [dx]     at com.android.dx.merge.DexMerger.mergeDexes(DexMerger.java:163)
   [dx]     at com.android.dx.merge.DexMerger.merge(DexMerger.java:187)
   [dx]     at com.android.dx.command.dexer.Main.mergeLibraryDexBuffers(Main.java:439)
   [dx]     at com.android.dx.command.dexer.Main.runMonoDex(Main.java:287)
   [dx]     at com.android.dx.command.dexer.Main.run(Main.java:230)
   [dx]     at com.android.dx.command.dexer.Main.main(Main.java:199)
   [dx]     at com.android.dx.command.Main.main(Main.java:103)

BUILD FAILED
C:\Users\Jaap\android-sdks\tools\ant\build.xml:892: The following error occurred while executing this line:
C:\Users\Jaap\android-sdks\tools\ant\build.xml:894: The following error occurred while executing this line:
C:\Users\Jaap\android-sdks\tools\ant\build.xml:906: The following error occurred while executing this line:
C:\Users\Jaap\android-sdks\tools\ant\build.xml:284: null returned: 2

Cuando se usa Eclipse el mensaje es más corto pero similar:

[2013-11-01 14:29:44] APK file is not created for Project: 
[2013-11-01 14:29:46 - Dex Loader] Unable to execute dex: java.nio.BufferOverflowException. Check the Eclipse log for stack trace.
[2013-11-01 14:29:46 - MyProject] Conversion to Dalvik format failed: Unable to execute dex: java.nio.BufferOverflowException. Check the Eclipse log for stack trace.

Como dije, no tengo este problema en mi MacBook, a pesar de que ambos están actualizados a las últimas versiones de las herramientas de compilación de Android: 19.0.0.