MinT - Information on Result #1120325

Information on Result #1120325

Linear OOA(3²¹⁵, 44, F₃, 5, 187) (dual of [(44, 5), 5, 188]-NRT-code), using repeating each code word 4 times based on linear OOA(3⁵⁰, 11, F₃, 5, 46) (dual of [(11, 5), 5, 47]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3⁵⁰, 12, F₃, 5, 46) (dual of [(12, 5), 10, 47]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,13P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
  - an explicitly constructive algebraic function field [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(3²¹⁵, 44, F₃, 5, 186) (dual of [(44, 5), 5, 187]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3²¹⁵, 44, F₃, 5, 185) (dual of [(44, 5), 5, 186]-NRT-code)	[i]
3	Linear OOA(3²¹⁵, 44, F₃, 5, 184) (dual of [(44, 5), 5, 185]-NRT-code)	[i]
4	Linear OOA(3²¹⁵, 44, F₃, 5, 183) (dual of [(44, 5), 5, 184]-NRT-code)	[i]