MinT - Information on Result #2438761

Information on Result #2438761

Linear OOA(4⁶⁶, 36, F₄, 2, 50) (dual of [(36, 2), 6, 51]-NRT-code), using strength reduction based on linear OOA(4⁶⁶, 36, F₄, 2, 51) (dual of [(36, 2), 6, 52]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(4¹³, 9, F₄, 2, 12) (dual of [(9, 2), 5, 13]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,5P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
    - the Hermitian function field over F₄ [i]
2. linear OOA(4¹⁷, 9, F₄, 2, 17) (dual of [(9, 2), 1, 18]-NRT-code), using
  - dual of repetition NRT-code with length 9 [i]
3. linear OOA(4¹⁸, 9, F₄, 2, 18) (dual of [(9, 2), 0, 19]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [i]
4. linear OOA(4¹⁸, 9, F₄, 2, 18) (dual of [(9, 2), 0, 19]-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(4⁶⁵, 35, F₄, 2, 49) (dual of [(35, 2), 5, 50]-NRT-code)	[i]		Truncation for OOAs
2	Linear OOA(4⁶⁴, 35, F₄, 2, 48) (dual of [(35, 2), 6, 49]-NRT-code)	[i]		Truncation for OOAs