MinT - Information on Result #2617693

Information on Result #2617693

Linear OOA(2²²⁵, 78, F₂, 3, 152) (dual of [(78, 3), 9, 153]-NRT-code), using strength reduction based on linear OOA(2²²⁵, 78, F₂, 3, 153) (dual of [(78, 3), 9, 154]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8²³, 26, F₈, 21) (dual of [26, 3, 22]-code), using
  - 2 times truncation [i] based on linear OA(8²⁵, 28, F₈, 23) (dual of [28, 3, 24]-code), using
    - Denniston code D(2,8) [i]
2. 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		Method
1	Linear OOA(2²²⁴, 77, F₂, 3, 151) (dual of [(77, 3), 7, 152]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(2²²³, 77, F₂, 3, 150) (dual of [(77, 3), 8, 151]-NRT-code)	[i]
3	Linear OOA(2²²², 77, F₂, 3, 149) (dual of [(77, 3), 9, 150]-NRT-code)	[i]
4	Linear OOA(2²²¹, 76, F₂, 3, 148) (dual of [(76, 3), 7, 149]-NRT-code)	[i]
5	Linear OOA(2²²⁰, 76, F₂, 3, 147) (dual of [(76, 3), 8, 148]-NRT-code)	[i]
6	Linear OOA(2²¹⁹, 76, F₂, 3, 146) (dual of [(76, 3), 9, 147]-NRT-code)	[i]
7	Linear OOA(2²¹⁸, 75, F₂, 3, 145) (dual of [(75, 3), 7, 146]-NRT-code)	[i]
8	Linear OOA(2²²⁵, 39, F₂, 6, 152) (dual of [(39, 6), 9, 153]-NRT-code)	[i]	OOA Folding