MinT - Information on Result #2621449

Information on Result #2621449

Linear OOA(3¹⁰⁴, 36, F₃, 3, 82) (dual of [(36, 3), 4, 83]-NRT-code), using strength reduction based on linear OOA(3¹⁰⁴, 36, F₃, 3, 83) (dual of [(36, 3), 4, 84]-NRT-code), using

repeating each code word 6 times [i] based on linear OOA(3¹⁴, 6, F₃, 3, 13) (dual of [(6, 3), 4, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁴, 7, F₃, 3, 13) (dual of [(7, 3), 7, 14]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, 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(3¹⁷¹, 70, F₃, 3, 82) (dual of [(70, 3), 39, 83]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs