MinT - Information on Result #2430144

Information on Result #2430144

Linear OOA(3⁵⁴, 30, F₃, 2, 37) (dual of [(30, 2), 6, 38]-NRT-code), using strength reduction based on linear OOA(3⁵⁴, 30, F₃, 2, 38) (dual of [(30, 2), 6, 39]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3¹⁵, 10, F₃, 2, 12) (dual of [(10, 2), 5, 13]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁹, 10, F₃, 2, 19) (dual of [(10, 2), 1, 20]-NRT-code), using
  - dual of repetition NRT-code with length 10 [i]
3. linear OOA(3²⁰, 10, F₃, 2, 20) (dual of [(10, 2), 0, 21]-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(3⁵⁴, 15, F₃, 4, 37) (dual of [(15, 4), 6, 38]-NRT-code)	[i]		OOA Folding