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    • 5. 发明授权
    • System and method for implementing a Reed Solomon multiplication section from exclusive-OR logic
    • 用于从异或逻辑实现里德所罗门乘法部分的系统和方法
    • US07366969B2
    • 2008-04-29
    • US10960836
    • 2004-10-07
    • Qiujie DongAndrew J. Thurston
    • Qiujie DongAndrew J. Thurston
    • H03M13/00
    • H03M13/159H03M13/1515H03M13/158
    • Various methods and systems for implementing Reed Solomon multiplication sections from exclusive-OR (XOR) logic are disclosed. For example, a system includes a Reed Solomon multiplication section, which includes XOR-based logic. The XOR-based logic includes an input, an output, and one or more XOR gates. A symbol X is received at the input of the XOR-based logic. The one or more XOR gates are coupled to generate a product of a power of α and X at the output, wherein α is a root of a primitive polynomial of a Reed Solomon code. Such a Reed Solomon multiplication section, which can include one or more multipliers implemented using XOR-based logic, can be included in a Reed Solomon encoder or decoder.
    • 公开了用于从异或(XOR)逻辑实现Reed Solomon乘法部分的各种方法和系统。 例如,系统包括Reed Solomon乘法部分,其包括基于XOR的逻辑。 基于XOR的逻辑包括输入,输出和一个或多个异或门。 在基于XOR的逻辑的输入处接收符号X. 一个或多个XOR门被耦合以在输出处产生α和X的幂的乘积,其中α是里德所罗门码的原始多项式的根。 这种Reed Solomon乘法部分可以包括在Reed Solomon编码器或解码器中,该部分可以包括使用基于XOR的逻辑实现的一个或多个乘法器。
    • 6. 发明授权
    • System and method for implementing a Reed Solomon multiplication section from exclusive-OR logic
    • 用于从异或逻辑实现里德所罗门乘法部分的系统和方法
    • US08176396B2
    • 2012-05-08
    • US12046049
    • 2008-03-11
    • Qiujie DongAndrew J. Thurston
    • Qiujie DongAndrew J. Thurston
    • H03M13/00
    • H03M13/159H03M13/1515H03M13/158
    • Various methods and systems for implementing Reed Solomon multiplication sections from exclusive-OR (XOR) logic are disclosed. For example, a system includes a Reed Solomon multiplication section, which includes XOR-based logic. The XOR-based logic includes an input, an output, and one or more XOR gates. A symbol X is received at the input of the XOR-based logic. The one or more XOR gates are coupled to generate a product of a power of α and X at the output, wherein α is a root of a primitive polynomial of a Reed Solomon code. Such a Reed Solomon multiplication section, which can include one or more multipliers implemented using XOR-based logic, can be included in a Reed Solomon encoder or decoder.
    • 公开了用于从异或(XOR)逻辑实现Reed Solomon乘法部分的各种方法和系统。 例如,系统包括Reed Solomon乘法部分,其包括基于XOR的逻辑。 基于XOR的逻辑包括输入,输出和一个或多个异或门。 在基于XOR的逻辑的输入处接收符号X. 一个或多个XOR门被耦合以在输出处产生α和X的幂的乘积,其中α是里德所罗门码的原始多项式的根。 这种Reed Solomon乘法部分可以包括在Reed Solomon编码器或解码器中,该部分可以包括使用基于XOR的逻辑实现的一个或多个乘法器。
    • 7. 发明申请
    • System and method for implementing a Reed Solomon multiplication section from exclusive-OR logic
    • 用于从异或逻辑实现里德所罗门乘法部分的系统和方法
    • US20060090119A1
    • 2006-04-27
    • US10960836
    • 2004-10-07
    • Qiujie DongAndrew Thurston
    • Qiujie DongAndrew Thurston
    • H03M13/00
    • H03M13/159H03M13/1515H03M13/158
    • Various methods and systems for implementing Reed Solomon multiplication sections from exclusive-OR (XOR) logic are disclosed. For example, a system includes a Reed Solomon multiplication section, which includes XOR-based logic. The XOR-based logic includes an input, an output, and one or more XOR gates. A symbol X is received at the input of the XOR-based logic. The one or more XOR gates are coupled to generate a product of a power of α and X at the output, wherein α is a root of a primitive polynomial of a Reed Solomon code. Such a Reed Solomon multiplication section, which can include one or more multipliers implemented using XOR-based logic, can be included in a Reed Solomon encoder or decoder.
    • 公开了用于从异或(XOR)逻辑实现Reed Solomon乘法部分的各种方法和系统。 例如,系统包括Reed Solomon乘法部分,其包括基于XOR的逻辑。 基于XOR的逻辑包括输入,输出和一个或多个异或门。 在基于XOR的逻辑的输入处接收符号X. 一个或多个XOR门被耦合以在输出处产生α和X的幂的乘积,其中α是里德所罗门码的原始多项式的根。 这种Reed Solomon乘法部分可以包括在Reed Solomon编码器或解码器中,该部分可以包括使用基于XOR的逻辑实现的一个或多个乘法器。