MinT - Information on Result #1028887

Information on Result #1028887

Linear OOA(2²²⁹, 93, F₂, 3, 109) (dual of [(93, 3), 50, 110]-NRT-code), using concatenation of two NRT-codes based on

linear OA(32²¹, 31, F₃₂, 21) (dual of [31, 10, 22]-code or 31-arc in PG(20,32)), using
- discarding factors / shortening the dual code based on linear OA(32²¹, 32, F₃₂, 21) (dual of [32, 11, 22]-code or 32-arc in PG(20,32)), using
  - Reedâ€“Solomon code RS(11,32) [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(2²²⁹, 93, F₂, 3, 108) (dual of [(93, 3), 50, 109]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²²⁹, 93, F₂, 3, 107) (dual of [(93, 3), 50, 108]-NRT-code)	[i]
3	Linear OOA(2²²⁹, 93, F₂, 3, 106) (dual of [(93, 3), 50, 107]-NRT-code)	[i]
4	Linear OOA(2²³², 94, F₂, 3, 109) (dual of [(94, 3), 50, 110]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
5	Linear OOA(2²³⁰, 93, F₂, 3, 109) (dual of [(93, 3), 49, 110]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(2²³¹, 93, F₂, 3, 109) (dual of [(93, 3), 48, 110]-NRT-code)	[i]		OOA Duplication
7	Linear OOA(2²²⁸, 92, F₂, 3, 108) (dual of [(92, 3), 48, 109]-NRT-code)	[i]		Truncation for OOAs
8	Linear OOA(2²²⁷, 92, F₂, 3, 107) (dual of [(92, 3), 49, 108]-NRT-code)	[i]
9	Linear OOA(2²²⁶, 92, F₂, 3, 106) (dual of [(92, 3), 50, 107]-NRT-code)	[i]
10	Linear OOA(2²²⁵, 91, F₂, 3, 105) (dual of [(91, 3), 48, 106]-NRT-code)	[i]
11	Linear OOA(2²²⁹, 46, F₂, 6, 109) (dual of [(46, 6), 47, 110]-NRT-code)	[i]		OOA Folding