MinT - Information on Result #2429771

Information on Result #2429771

Linear OOA(2²⁶⁰, 131, F₂, 2, 200) (dual of [(131, 2), 2, 201]-NRT-code), using strength reduction based on linear OOA(2²⁶⁰, 131, F₂, 2, 217) (dual of [(131, 2), 2, 218]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2², 2, F₂, 2, 2) (dual of [(2, 2), 2, 3]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;2,2) [i]
2. linear OOA(2²⁵⁶, 129, F₂, 2, 214) (dual of [(129, 2), 2, 215]-NRT-code), using
  - repeating each code word 43 times [i] based on linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;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(2²⁵⁴, 128, F₂, 2, 194) (dual of [(128, 2), 2, 195]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(2²⁵², 127, F₂, 2, 192) (dual of [(127, 2), 2, 193]-NRT-code)	[i]
3	Linear OOA(2²⁴⁸, 125, F₂, 2, 188) (dual of [(125, 2), 2, 189]-NRT-code)	[i]
4	Linear OOA(2²⁴⁶, 124, F₂, 2, 186) (dual of [(124, 2), 2, 187]-NRT-code)	[i]
5	Linear OOA(2²⁴⁰, 121, F₂, 2, 180) (dual of [(121, 2), 2, 181]-NRT-code)	[i]
6	Linear OOA(2²³⁶, 119, F₂, 2, 176) (dual of [(119, 2), 2, 177]-NRT-code)	[i]
7	Linear OOA(2²²⁸, 115, F₂, 2, 168) (dual of [(115, 2), 2, 169]-NRT-code)	[i]
8	Linear OOA(2²²⁴, 113, F₂, 2, 164) (dual of [(113, 2), 2, 165]-NRT-code)	[i]
9	Linear OOA(2²¹⁶, 109, F₂, 2, 156) (dual of [(109, 2), 2, 157]-NRT-code)	[i]
10	Linear OOA(2²¹², 107, F₂, 2, 152) (dual of [(107, 2), 2, 153]-NRT-code)	[i]
11	Linear OOA(2²⁰⁴, 103, F₂, 2, 144) (dual of [(103, 2), 2, 145]-NRT-code)	[i]