MinT - Information on Result #1170350

Information on Result #1170350

Linear OOA(2¹⁹⁸, 25, F₂, 8, 176) (dual of [(25, 8), 2, 177]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁹⁸, 50, F₂, 4, 176) (dual of [(50, 4), 2, 177]-NRT-code), using

60 step truncation [i] based on linear OOA(2²⁵⁸, 65, F₂, 4, 236) (dual of [(65, 4), 2, 237]-NRT-code), using
- strength reduction [i] based on linear OOA(2²⁵⁸, 65, F₂, 4, 237) (dual of [(65, 4), 2, 238]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2⁶, 2, F₂, 4, 6) (dual of [(2, 4), 2, 7]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(4;2,2) [i]
    2. linear OOA(2²⁵⁰, 63, F₂, 4, 230) (dual of [(63, 4), 2, 231]-NRT-code), using
      - repeating each code word 21 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(2¹⁹⁸, 25, F₂, 8, 175) (dual of [(25, 8), 2, 176]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2¹⁹⁸, 25, F₂, 8, 174) (dual of [(25, 8), 2, 175]-NRT-code)	[i]
3	Linear OOA(2¹⁹⁸, 25, F₂, 8, 173) (dual of [(25, 8), 2, 174]-NRT-code)	[i]
4	Linear OOA(2¹⁹⁸, 25, F₂, 8, 172) (dual of [(25, 8), 2, 173]-NRT-code)	[i]
5	Linear OOA(2¹⁹⁸, 25, F₂, 8, 171) (dual of [(25, 8), 2, 172]-NRT-code)	[i]
6	Linear OOA(2¹⁹⁸, 25, F₂, 8, 170) (dual of [(25, 8), 2, 171]-NRT-code)	[i]