MinT - Information on Result #1082265

Information on Result #1082265

Linear OOA(3²⁴², 72, F₃, 4, 144) (dual of [(72, 4), 46, 145]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁹⁸, 36, F₃, 4, 72) (dual of [(36, 4), 46, 73]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,71P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁴⁴, 36, F₃, 4, 144) (dual of [(36, 4), 0, 145]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [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(3²⁴², 72, F₃, 4, 143) (dual of [(72, 4), 46, 144]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²⁴², 72, F₃, 4, 142) (dual of [(72, 4), 46, 143]-NRT-code)	[i]		Strength Reduction for OOAs