并行rs(255,223) verilog代码

以下是一个基于 Verilog 的并行 RS(255,223) 编码器和解码器的示例代码：

module rs_encoder(
    input clk,
    input [222:0] data_in,
    output [254:0] data_out
);

reg [31:0] alpha[255:0];
reg [31:0] beta[255:0];
reg [223:0] message[223:0];
reg [31:0] syndrome[31:0];
reg [31:0] poly[31:0];
reg [31:0] remainder[31:0];

integer i, j;

always @ (posedge clk) begin
    // initialize alpha and beta tables
    alpha[0] = 1;
    beta[0] = 1;
    for (i = 1; i <= 255; i = i + 1) begin
        alpha[i] = alpha[i - 1] << 1;
        if (alpha[i] > 255'hFF) begin
            alpha[i] = alpha[i] ^ 285;
        end
        beta[i] = alpha[i] ^ beta[i - 1];
    end

    // copy input message to message buffer
    message[222:0] = data_in;

    // calculate syndrome
    for (i = 0; i < 32; i = i + 1) begin
        syndrome[i] = 0;
        for (j = 0; j < 223; j = j + 1) begin
            syndrome[i] = syndrome[i] ^ (message[j] * alpha[(i + 1) * j]);
        end
    end

    // generate generator polynomial
    poly[30:0] = 0;
    poly[31] = 1;
    for (i = 0; i < 32; i = i + 1) begin
        remainder[30:0] = poly[30:0] ^ (syndrome[i] * beta[i + 1]);
        poly[30:0] = poly[29:0];
        poly[31] = 0;
        poly[30:0] = remainder[30:0];
    end

    // calculate parity bits
    for (i = 223; i < 255; i = i + 1) begin
        data_out[i] = 0;
        for (j = 0; j < 32; j = j + 1) begin
            data_out[i] = data_out[i] ^ (message[j] * alpha[i * j]);
        end
        data_out[i] = data_out[i] ^ (poly[30] * alpha[i * 32]);
    end

    // copy input message to output
    data_out[222:0] = data_in;
end

endmodule

module rs_decoder(
    input clk,
    input [254:0] data_in,
    output [222:0] data_out
);

reg [31:0] alpha[255:0];
reg [31:0] beta[255:0];
reg [223:0] synd[223:0];
reg [31:0] locator[32:0];
reg [31:0] error_poly[31:0];
reg [31:0] err[223:0];
reg [31:0] omega[32:0];
reg [31:0] error[223:0];
reg [31:0] inv_error[31:0];
reg [31:0] inv_locator[32:0];
reg [31:0] inv_error_poly[31:0];
reg [31:0] poly[31:0];
reg [31:0] remainder[31:0];
reg [31:0] inv_remainder[31:0];

integer i, j;

always @ (posedge clk) begin
    // initialize alpha and beta tables
    alpha[0] = 1;
    beta[0] = 1;
    for (i = 1; i <= 255; i = i + 1) begin
        alpha[i] = alpha[i - 1] << 1;
        if (alpha[i] > 255'hFF) begin
            alpha[i] = alpha[i] ^ 285;
        end
        beta[i] = alpha[i] ^ beta[i - 1];
    end

    // copy input message to synd buffer
    synd[222:0] = data_in[254:32];

    // calculate error locator polynomial
    locator[32:0] = 0;
    locator[0] = 1;
    for (i = 0; i < 223; i = i + 1) begin
        poly[31:0] = 0;
        poly[31] = 1;
        for (j = 0; j < 223; j = j + 1) begin
            if (i != j) begin
                remainder[30:0] = poly[30:0] ^ (alpha[(j - i + 255) % 255] * poly[31]);
                poly[30:0] = poly[29:0];
                poly[31] = 0;
                poly[30:0] = remainder[30:0];
            end
        end
        locator[i + 1] = poly[30];
    end

    // calculate error polynomial
    error_poly[31:0] = 0;
    error_poly[31] = 1;
    for (i = 0; i < 223; i = i + 1) begin
        if (synd[i] != 0) begin
            omega[32:0] = 0;
            omega[0] = synd[i];
            for (j = 0; j < 32; j = j + 1) begin
                remainder[30:0] = omega[30:0] ^ (alpha[(i + 1) * j] * error_poly[31]);
                omega[30:0] = omega[29:0];
                omega[31] = 0;
                omega[30:0] = remainder[30:0];
            end
            error_poly[31:0] = error_poly[30:0];
            error_poly[0] = 0;
            error_poly[31:0] = omega[31:0];
        end
    end

    // calculate error values
    for (i = 0; i < 223; i = i + 1) begin
        err[i] = 0;
        for (j = 0; j < 32; j = j + 1) begin
            err[i] = err[i] ^ (alpha[(i + 1) * j] * error_poly[j]);
        end
    end

    // invert error locator polynomial
    inv_locator[32:0] = 0;
    inv_locator[0] = 1;
    for (i = 1; i <= 32; i = i + 1) begin
        poly[31:0] = 0;
        poly[31] = 1;
        for (j = 1; j <= 32; j = j + 1) begin
            if (i != j) begin
                remainder[30:0] = poly[30:0] ^ (alpha[(j - i + 32) % 32] * inv_locator[31]);
                poly[30:0] = poly[29:0];
                poly[31] = 0;
                poly[30:0] = remainder[30:0];
            end
        end
        inv_locator[i] = poly[30];
    end

    // invert error polynomial
    inv_error_poly[31:0] = 0;
    inv_error_poly[31] = 1;
    for (i = 0; i < 223; i = i + 1) begin
        inv_error[31:0] = 0;
        inv_error[0] = err[i];
        for (j = 0; j < 32; j = j + 1) begin
            remainder[30:0] = inv_error[30:0] ^ (alpha[(i + 1) * j] * inv_error_poly[31]);
            inv_error[30:0] = inv_error[29:0];
            inv_error[31] = 0;
            inv_error[30:0] = remainder[30:0];
        end
        inv_error_poly[31:0] = inv_error_poly[30:0];
        inv_error_poly[0] = 0;
        inv_error_poly[31:0] = inv_error[31:0];
    end

    // calculate corrected message
    for (i = 0; i < 223; i = i + 1) begin
        if (inv_error_poly[0] == 0) begin
            inv_remainder[31:0] = 0;
        end else begin
            inv_remainder[31:0] = inv_error_poly[31:0] ^ inv_locator[31:0];
        end
        data_out[i] = (data_in[i] ^ inv_remainder[0]);
        for (j = 0; j < 32; j = j + 1) begin
            inv_locator[j] = inv_locator[j + 1];
        end
        inv_locator[32] = 0;
        for (j = 0; j < 32; j = j + 1) begin
            inv_error_poly[j] = inv_error_poly[j + 1];
        end
        inv_error_poly[31] = 0;
    end
end

endmodule

请注意，此代码仅用于示例目的，并且可能需要进行修改以适应您的具体应用。也请务必对代码进行全面的测试和验证，以确保其正确性和可靠性。