MinT - Information on Result #2468325

Information on Result #2468325

Linear OOA(4⁷³, 39, F₄, 2, 57) (dual of [(39, 2), 5, 58]-NRT-code), using 2 step truncation based on linear OOA(4⁷⁵, 40, F₄, 2, 59) (dual of [(40, 2), 5, 60]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(4¹⁶, 10, F₄, 2, 14) (dual of [(10, 2), 4, 15]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,5P) [i] based on function field F/F₄ with g(F) = 2 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁹, 10, F₄, 2, 19) (dual of [(10, 2), 1, 20]-NRT-code), using
  - dual of repetition NRT-code with length 10 [i]
3. linear OOA(4²⁰, 10, F₄, 2, 20) (dual of [(10, 2), 0, 21]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [i]
4. linear OOA(4²⁰, 10, F₄, 2, 20) (dual of [(10, 2), 0, 21]-NRT-code) (see above)

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(4²²⁹, 117, F₄, 2, 173) (dual of [(117, 2), 5, 174]-NRT-code)	[i]		Repeating Each Code Word for NRT-Codes