various typos (dimension, subscript, ring)

native/src/seal/batchencoder.h

@@ -26,12 +26,12 @@ namespace seal
     Mathematically speaking, if the polynomial modulus is X^N+1, N is a power of two, and
     plain_modulus is a prime number T such that 2N divides T-1, then integers modulo T
     contain a primitive 2N-th root of unity and the polynomial X^N+1 splits into n distinct
-    linear factors as X^N+1 = (X-a_1)*...*(X-a_N) mod T, where the constants a_1, ..., a_n
+    linear factors as X^N+1 = (X-a_1)*...*(X-a_N) mod T, where the constants a_1, ..., a_N
     are all the distinct primitive 2N-th roots of unity in integers modulo T. The Chinese
     Remainder Theorem (CRT) states that the plaintext space Z_T[X]/(X^N+1) in this case is
     isomorphic (as an algebra) to the N-fold direct product of fields Z_T. The isomorphism
     is easy to compute explicitly in both directions, which is what this class does.
-    Furthermore, the Galois group of the extension is (Z/2NZ)* ~= Z/2Z x Z/(N/2) whose
+    Furthermore, the Galois group of the extension is (Z/2NZ)* ~= Z/2Z x Z/(N/2)Z whose
     action on the primitive roots of unity is easy to describe. Since the batching slots
     correspond 1-to-1 to the primitive roots of unity, applying Galois automorphisms on the
     plaintext act by permuting the slots. By applying generators of the two cyclic

native/src/seal/evaluator.h

@@ -25,7 +25,7 @@ namespace seal
     the plaintext elements are fundamentally polynomials in the polynomial quotient ring Z_T[x]/(X^N+1), where T is the
     plaintext modulus and X^N+1 is the polynomial modulus, this is the ring where the arithmetic operations will take
     place. BatchEncoder (batching) provider an alternative possibly more convenient view of the plaintext elements as
-    2-by-(N2/2) matrices of integers modulo the plaintext modulus. In the batching view the arithmetic operations act on
+    2-by-(N/2) matrices of integers modulo the plaintext modulus. In the batching view the arithmetic operations act on
     the matrices element-wise. Some of the operations only apply in the batching view, such as matrix row and column
     rotations. Other operations such as relinearization have no semantic meaning but are necessary for performance
     reasons.