MinT - Information on Result #1170395

Information on Result #1170395

Linear OOA(2²⁰⁶, 26, F₂, 8, 183) (dual of [(26, 8), 2, 184]-NRT-code), using OOA 2-folding based on linear OOA(2²⁰⁶, 52, F₂, 4, 183) (dual of [(52, 4), 2, 184]-NRT-code), using

52 step truncation [i] based on linear OOA(2²⁵⁸, 65, F₂, 4, 235) (dual of [(65, 4), 2, 236]-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(2²⁰⁶, 26, F₂, 8, 182) (dual of [(26, 8), 2, 183]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁰⁶, 26, F₂, 8, 181) (dual of [(26, 8), 2, 182]-NRT-code)	[i]
3	Linear OOA(2²⁰⁶, 26, F₂, 8, 180) (dual of [(26, 8), 2, 181]-NRT-code)	[i]
4	Linear OOA(2²⁰⁶, 26, F₂, 8, 179) (dual of [(26, 8), 2, 180]-NRT-code)	[i]
5	Linear OOA(2²⁰⁶, 26, F₂, 8, 178) (dual of [(26, 8), 2, 179]-NRT-code)	[i]
6	Linear OOA(2²⁰⁶, 26, F₂, 8, 177) (dual of [(26, 8), 2, 178]-NRT-code)	[i]