MinT - Information on Result #1023800

Information on Result #1023800

Linear OOA(3⁶², 22, F₃, 3, 51) (dual of [(22, 3), 4, 52]-NRT-code), using repeating each code word 2 times based on linear OOA(3²⁹, 11, F₃, 3, 25) (dual of [(11, 3), 4, 26]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3²⁹, 12, F₃, 3, 25) (dual of [(12, 3), 7, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,10P) [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		This result only	Method
1	Linear OOA(3⁶², 22, F₃, 3, 50) (dual of [(22, 3), 4, 51]-NRT-code)	[i]		Strength Reduction for OOAs