Proofs of Existence and Optimality · Application: Error Correcting Codes (Optional)

Lesson 7

Nikolai Chukhin · Alexander S. Kulikov

Problem. Mark all linear codes.

1 point
  1. \(C = \{ x \in \{ 0, 1 \}^{n}\colon |x| \equiv_{2} 0 \}\)

  2. \(C = \{ 000, 001, 010, 100 \}\)

  3. \(C = \{ 0^{n}, 1^{n}\}\)