MinT - Information on Result #941073

Information on Result #941073

Linear OOA(2¹⁷⁹, 96, F₂, 2, 94) (dual of [(96, 2), 13, 95]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁸⁴, 48, F₂, 2, 47) (dual of [(48, 2), 12, 48]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(8¹², 16, F₈, 11) (dual of [16, 4, 12]-code), using
    - a code by Marcugini, Milani, and Pambianco [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]
linear OOA(2⁹⁵, 48, F₂, 2, 94) (dual of [(48, 2), 1, 95]-NRT-code), using
- strength reduction [i] based on linear OOA(2⁹⁵, 48, F₂, 2, 95) (dual of [(48, 2), 1, 96]-NRT-code), using
  - dual of repetition NRT-code with length 48 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(2¹⁸¹, 97, F₂, 2, 94) (dual of [(97, 2), 13, 95]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(2¹⁷⁸, 95, F₂, 2, 93) (dual of [(95, 2), 12, 94]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(2¹⁷⁷, 95, F₂, 2, 92) (dual of [(95, 2), 13, 93]-NRT-code)	[i]	Truncation for OOAs
4	Linear OOA(2¹⁷⁹, 48, F₂, 4, 94) (dual of [(48, 4), 13, 95]-NRT-code)	[i]	OOA Folding