MinT - Information on Result #2418634

Information on Result #2418634

Linear OOA(2¹⁰⁸, 60, F₂, 2, 58) (dual of [(60, 2), 12, 59]-NRT-code), using strength reduction based on linear OOA(2¹⁰⁸, 60, F₂, 2, 59) (dual of [(60, 2), 12, 60]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8¹⁶, 20, F₈, 14) (dual of [20, 4, 15]-code), using
  - a quasi-cyclic code by Gulliver and Bhargava [i]
2. linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(2¹¹⁰, 61, F₂, 2, 58) (dual of [(61, 2), 12, 59]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(2¹⁰⁹, 60, F₂, 2, 58) (dual of [(60, 2), 11, 59]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(2¹⁰⁷, 59, F₂, 2, 57) (dual of [(59, 2), 11, 58]-NRT-code)	[i]	Truncation for OOAs
4	Linear OOA(2¹⁰⁶, 59, F₂, 2, 56) (dual of [(59, 2), 12, 57]-NRT-code)	[i]	Truncation for OOAs
5	Linear OOA(2¹⁰⁸, 30, F₂, 4, 58) (dual of [(30, 4), 12, 59]-NRT-code)	[i]	OOA Folding