MinT - Information on Result #908217

Information on Result #908217

Linear OOA(8¹⁷², 87, F₈, 2, 161) (dual of [(87, 2), 2, 162]-NRT-code), using repeating each code word 3 times based on linear OOA(8⁵⁶, 29, F₈, 2, 53) (dual of [(29, 2), 2, 54]-NRT-code), using

14 step truncation [i] based on linear OOA(8⁷⁰, 36, F₈, 2, 67) (dual of [(36, 2), 2, 68]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(8¹⁶, 9, F₈, 2, 16) (dual of [(9, 2), 2, 17]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;2,8) [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(8¹⁷², 87, F₈, 2, 160) (dual of [(87, 2), 2, 161]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(8¹⁷², 87, F₈, 2, 159) (dual of [(87, 2), 2, 160]-NRT-code)	[i]
3	Linear OOA(8¹⁷², 87, F₈, 2, 158) (dual of [(87, 2), 2, 159]-NRT-code)	[i]
4	Linear OOA(8¹⁶⁴, 83, F₈, 2, 153) (dual of [(83, 2), 2, 154]-NRT-code)	[i]	Truncation for OOAs
5	Linear OOA(8¹⁶², 82, F₈, 2, 151) (dual of [(82, 2), 2, 152]-NRT-code)	[i]
6	Linear OOA(8¹⁵⁶, 79, F₈, 2, 145) (dual of [(79, 2), 2, 146]-NRT-code)	[i]