MinT - Information on Result #1120389

Information on Result #1120389

Linear OOA(3²⁵⁰, 51, F₃, 5, 215) (dual of [(51, 5), 5, 216]-NRT-code), using repeating each code word 3 times based on linear OOA(3⁸⁰, 17, F₃, 5, 71) (dual of [(17, 5), 5, 72]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3⁸⁰, 19, F₃, 5, 71) (dual of [(19, 5), 15, 72]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,23P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, 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(3²⁵⁰, 51, F₃, 5, 214) (dual of [(51, 5), 5, 215]-NRT-code)	[i]		Strength Reduction for OOAs