MinT - Information on Result #1028899

Information on Result #1028899

Linear OOA(2²³⁴, 93, F₂, 3, 114) (dual of [(93, 3), 45, 115]-NRT-code), using concatenation of two NRT-codes based on

linear OA(32²², 31, F₃₂, 22) (dual of [31, 9, 23]-code or 31-arc in PG(21,32)), using
- discarding factors / shortening the dual code based on linear OA(32²², 32, F₃₂, 22) (dual of [32, 10, 23]-code or 32-arc in PG(21,32)), using
  - Reedâ€“Solomon code RS(10,32) [i]
linear OOA(2⁴, 3, F₂, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;5,2) [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		This result only	Method
1	Linear OOA(2²³⁴, 93, F₂, 3, 113) (dual of [(93, 3), 45, 114]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²³⁴, 93, F₂, 3, 112) (dual of [(93, 3), 45, 113]-NRT-code)	[i]
3	Linear OOA(2²³⁴, 93, F₂, 3, 111) (dual of [(93, 3), 45, 112]-NRT-code)	[i]
4	Linear OOA(2²³⁷, 94, F₂, 3, 114) (dual of [(94, 3), 45, 115]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
5	Linear OOA(2²³⁵, 93, F₂, 3, 114) (dual of [(93, 3), 44, 115]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(2²³⁶, 93, F₂, 3, 114) (dual of [(93, 3), 43, 115]-NRT-code)	[i]		OOA Duplication
7	Linear OOA(2²³³, 92, F₂, 3, 113) (dual of [(92, 3), 43, 114]-NRT-code)	[i]		Truncation for OOAs
8	Linear OOA(2²³², 92, F₂, 3, 112) (dual of [(92, 3), 44, 113]-NRT-code)	[i]
9	Linear OOA(2²³¹, 92, F₂, 3, 111) (dual of [(92, 3), 45, 112]-NRT-code)	[i]
10	Linear OOA(2²³⁰, 91, F₂, 3, 110) (dual of [(91, 3), 43, 111]-NRT-code)	[i]
11	Linear OOA(2²³⁴, 46, F₂, 6, 114) (dual of [(46, 6), 42, 115]-NRT-code)	[i]		OOA Folding