MinT - Information on Result #2528996

Information on Result #2528996

Linear OOA(2²¹³, 114, F₂, 2, 114) (dual of [(114, 2), 15, 115]-NRT-code), using strength reduction based on linear OOA(2²¹³, 114, F₂, 2, 115) (dual of [(114, 2), 15, 116]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8³³, 38, F₈, 28) (dual of [38, 5, 29]-code), using
  - a code from Grasslâ€™s database [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: 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		This result only	Method
1	Linear OOA(2²¹⁵, 115, F₂, 2, 114) (dual of [(115, 2), 15, 115]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
2	Linear OOA(2²¹⁷, 116, F₂, 2, 114) (dual of [(116, 2), 15, 115]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(2²¹², 113, F₂, 2, 113) (dual of [(113, 2), 14, 114]-NRT-code)	[i]		Truncation for OOAs
4	Linear OOA(2²¹¹, 113, F₂, 2, 112) (dual of [(113, 2), 15, 113]-NRT-code)	[i]		Truncation for OOAs