MinT - Information on Result #1068543

Information on Result #1068543

Linear OOA(3²⁵⁰, 63, F₃, 4, 217) (dual of [(63, 4), 2, 218]-NRT-code), using OOA 2-folding based on linear OOA(3²⁵⁰, 126, F₃, 2, 217) (dual of [(126, 2), 2, 218]-NRT-code), using

strength reduction [i] based on linear OOA(3²⁵⁰, 126, F₃, 2, 218) (dual of [(126, 2), 2, 219]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(3⁸², 42, F₃, 2, 72) (dual of [(42, 2), 2, 73]-NRT-code), using
  - 4 step truncation [i] based on linear OOA(3⁸⁶, 44, F₃, 2, 76) (dual of [(44, 2), 2, 77]-NRT-code), using
    - repeating each code word 11 times [i] based on linear OOA(3⁶, 4, F₃, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;2,3) [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(3²⁵⁰, 63, F₃, 4, 216) (dual of [(63, 4), 2, 217]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3²⁵⁰, 63, F₃, 4, 215) (dual of [(63, 4), 2, 216]-NRT-code)	[i]
3	Linear OOA(3²⁵⁰, 63, F₃, 4, 214) (dual of [(63, 4), 2, 215]-NRT-code)	[i]
4	Linear OOA(3²⁵⁰, 63, F₃, 4, 213) (dual of [(63, 4), 2, 214]-NRT-code)	[i]
5	Linear OOA(3²⁵⁰, 63, F₃, 4, 212) (dual of [(63, 4), 2, 213]-NRT-code)	[i]
6	Linear OOA(3²⁵⁰, 63, F₃, 4, 211) (dual of [(63, 4), 2, 212]-NRT-code)	[i]
7	Linear OOA(3²⁵⁰, 63, F₃, 4, 210) (dual of [(63, 4), 2, 211]-NRT-code)	[i]