Cook pasta in boiling water 9 1/2 minutes. Add carrot; cook an additional 30 seconds. Drain, and cool. Combine pasta mixture, shrimp, lettuce, cilantro leaves, and peanuts in a large bowl; toss well.
Combine lime juice and remaining ingredients in a jar. Cover tightly, and shake vigorously. Pour over pasta mixture, tossing gently to coat.
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