MinT - Information on Result #1086344

Information on Result #1086344

Linear OOA(3²²¹, 62, F₃, 4, 153) (dual of [(62, 4), 27, 154]-NRT-code), using repeating each code word 2 times based on linear OOA(3⁹⁷, 31, F₃, 4, 76) (dual of [(31, 4), 27, 77]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3⁹⁷, 32, F₃, 4, 76) (dual of [(32, 4), 31, 77]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,51P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, 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(3²²¹, 62, F₃, 4, 152) (dual of [(62, 4), 27, 153]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3²²¹, 62, F₃, 4, 151) (dual of [(62, 4), 27, 152]-NRT-code)	[i]
3	Linear OOA(3²²¹, 62, F₃, 4, 150) (dual of [(62, 4), 27, 151]-NRT-code)	[i]