Abstract: One embodiment provides a system that facilitates efficient storage and retrieval using erasure coding. During operation, the system determines a finite field solution that conforms to both locality and maximum distance separable (MDS) properties of an erasure-coding system. The system determines a generator matrix of the erasure-coding system based on the finite field solution and generates, from a data element, a plurality of coded fragments based on the generator matrix of the erasure-coding system. The plurality of coded fragments includes a set of enhanced coded fragments that allows reconstruction of the data element and a set of regular coded fragments. The number of the enhanced coded fragments can be fewer than a threshold number of coded fragments for the erasure-coding system.

Abstract: One embodiment provides a system that facilitates numerical operation-based erasure coding. During operation, the system determines the bit-width of processing capability of the computing system. The system then determines, based on the bit-width, a number of bits for representing a respective data element from a data stream and a number of data elements based on a number of a dimension of a generator matrix of erasure encoding. The system then obtains the number of data elements from the data stream and converts a respective obtained data element to a corresponding numerical representation. Here, a respective obtained data element is represented by the determined number of bits. The system then generates a code word, which comprises a plurality of coded fragments, of erasure encoding from the numerical representations based on the generator matrix of the erasure encoding.

Abstract: One embodiment provides a system that facilitates integrated security and high availability. During operation, the system obtains a number of data elements from a data stream based on a number of coded fragments that a code word includes. The system determines one or more bit-level operations for the data elements in such a way that at least one of the one or more bit-level operations becomes eliminated from a process of erasure encoding. The system then obfuscates the data elements based on one or more bit-level operations. Subsequently, the system generates a code word of the erasure encoding from the obfuscated data elements based on the generator matrix. The code word comprises a plurality of coded fragments.

Abstract: One embodiment provides a system that facilitates numerical operation-based erasure coding. During operation, the system determines the bit-width of processing capability of the computing system. The system then determines, based on the bit-width, a number of bits for representing a respective data element from a data stream and a number of data elements based on a number of a dimension of a generator matrix of erasure encoding. The system then obtains the number of data elements from the data stream and converts a respective obtained data element to a corresponding numerical representation. Here, a respective obtained data element is represented by the determined number of bits. The system then generates a code word, which comprises a plurality of coded fragments, of erasure encoding from the numerical representations based on the generator matrix of the erasure encoding.

Abstract: One embodiment provides a system that facilitates numerical operation-based erasure coding. During operation, the system determines the bit-width of processing capability of the computing system. The system then determines, based on the bit-width, a number of bits for representing a respective data element from a data stream and a number of data elements based on a number of a dimension of a generator matrix of erasure encoding. The system then obtains the number of data elements from the data stream and converts a respective obtained data element to a corresponding numerical representation. Here, a respective obtained data element is represented by the determined number of bits. The system then generates a code word, which comprises a plurality of coded fragments, of erasure encoding from the numerical representations based on the generator matrix of the erasure encoding.

Abstract: One embodiment provides a system that facilitates efficient storage and retrieval using erasure coding. During operation, the system determines a finite field solution that conforms to both locality and maximum distance separable (MDS) properties of an erasure-coding system. The system determines a generator matrix of the erasure-coding system based on the finite field solution and generates, from a data element, a plurality of coded fragments based on the generator matrix of the erasure-coding system. The plurality of coded fragments includes a set of enhanced coded fragments that allows reconstruction of the data element and a set of regular coded fragments. The number of the enhanced coded fragments can be fewer than a threshold number of coded fragments for the erasure-coding system.

Abstract: One embodiment provides a system that facilitates numerical operation-based erasure coding. During operation, the system determines the bit-width of processing capability of the computing system. The system then determines, based on the bit-width, a number of bits for representing a respective data element from a data stream and a number of data elements based on a number of a dimension of a generator matrix of erasure encoding. The system then obtains the number of data elements from the data stream and converts a respective obtained data element to a corresponding numerical representation. Here, a respective obtained data element is represented by the determined number of bits. The system then generates a code word, which comprises a plurality of coded fragments, of erasure encoding from the numerical representations based on the generator matrix of the erasure encoding.

Abstract: One embodiment provides a system that facilitates integrated security and high availability. During operation, the system obtains a number of data elements from a data stream based on a number of coded fragments that a code word includes. The system determines one or more bit-level operations for the data elements in such a way that at least one of the one or more bit-level operations becomes eliminated from a process of erasure encoding. The system then obfuscates the data elements based on one or more bit-level operations. Subsequently, the system generates a code word of the erasure encoding from the obfuscated data elements based on the generator matrix. The code word comprises a plurality of coded fragments.