MinT - Information on Result #2174999

Information on Result #2174999

Linear OA(2¹²⁹, 166, F₂, 45) (dual of [166, 37, 46]-code), using adding a parity check bit based on linear OA(2¹²⁸, 165, F₂, 44) (dual of [165, 37, 45]-code), using

residual code [i] based on linear OA(2²¹⁷, 255, F₂, 89) (dual of [255, 38, 90]-code), using
- the primitive BCH-code C(I) with length 255Â = 2⁸âˆ’1, defining interval IÂ =Â {−84,−83,…,4}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 90 [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(2¹²⁹, 166, F₂, 44) (dual of [166, 37, 45]-code)	[i]		Strength Reduction
2	Linear OA(2¹³⁰, 167, F₂, 45) (dual of [167, 37, 46]-code)	[i]		Code Embedding in Larger Space
3	Linear OA(2¹³¹, 168, F₂, 45) (dual of [168, 37, 46]-code)	[i]		Code Embedding in Larger Space
4	Linear OOA(2¹²⁹, 83, F₂, 2, 45) (dual of [(83, 2), 37, 46]-NRT-code)	[i]		OOA Folding
5	Linear OOA(2¹²⁹, 55, F₂, 3, 45) (dual of [(55, 3), 36, 46]-NRT-code)	[i]		OOA Folding