MinT - Information on Result #1028153

Information on Result #1028153

Linear OOA(2¹⁶⁸, 60, F₂, 3, 104) (dual of [(60, 3), 12, 105]-NRT-code), using concatenation of two NRT-codes based on

linear OA(8¹⁶, 20, F₈, 14) (dual of [20, 4, 15]-code), using
- a quasi-cyclic code by Gulliver and Bhargava [i]
linear OOA(2⁶, 3, F₂, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;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		This result only	Method
1	Linear OOA(2¹⁶⁸, 60, F₂, 3, 103) (dual of [(60, 3), 12, 104]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁶⁸, 60, F₂, 3, 102) (dual of [(60, 3), 12, 103]-NRT-code)	[i]
3	Linear OOA(2¹⁶⁸, 60, F₂, 3, 101) (dual of [(60, 3), 12, 102]-NRT-code)	[i]
4	Linear OOA(2¹⁶⁸, 60, F₂, 3, 100) (dual of [(60, 3), 12, 101]-NRT-code)	[i]
5	Linear OOA(2¹⁶⁸, 30, F₂, 6, 104) (dual of [(30, 6), 12, 105]-NRT-code)	[i]		OOA Folding