MinT - Information on Result #1170464

Information on Result #1170464

Linear OOA(2²²², 28, F₂, 8, 198) (dual of [(28, 8), 2, 199]-NRT-code), using OOA 2-folding based on linear OOA(2²²², 56, F₂, 4, 198) (dual of [(56, 4), 2, 199]-NRT-code), using

36 step truncation [i] based on linear OOA(2²⁵⁸, 65, F₂, 4, 234) (dual of [(65, 4), 2, 235]-NRT-code), using
- repeating each code word 5 times [i] based on linear OOA(2⁵⁰, 13, F₂, 4, 46) (dual of [(13, 4), 2, 47]-NRT-code), using
  - 8 step truncation [i] based on linear OOA(2⁵⁸, 15, F₂, 4, 54) (dual of [(15, 4), 2, 55]-NRT-code), using
    - repeating each code word 5 times [i] based on linear OOA(2¹⁰, 3, F₂, 4, 10) (dual of [(3, 4), 2, 11]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(4;2,2) [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(2²²², 28, F₂, 8, 197) (dual of [(28, 8), 2, 198]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²²², 28, F₂, 8, 196) (dual of [(28, 8), 2, 197]-NRT-code)	[i]
3	Linear OOA(2²²², 28, F₂, 8, 195) (dual of [(28, 8), 2, 196]-NRT-code)	[i]
4	Linear OOA(2²²², 28, F₂, 8, 194) (dual of [(28, 8), 2, 195]-NRT-code)	[i]
5	Linear OOA(2²²², 28, F₂, 8, 193) (dual of [(28, 8), 2, 194]-NRT-code)	[i]
6	Linear OOA(2²²², 28, F₂, 8, 192) (dual of [(28, 8), 2, 193]-NRT-code)	[i]
7	Linear OOA(2²²², 28, F₂, 8, 191) (dual of [(28, 8), 2, 192]-NRT-code)	[i]
8	Linear OOA(2²²², 28, F₂, 8, 190) (dual of [(28, 8), 2, 191]-NRT-code)	[i]