MinT - Information on Result #907975

Information on Result #907975

Linear OOA(4²⁵⁷, 130, F₄, 2, 214) (dual of [(130, 2), 3, 215]-NRT-code), using repeating each code word 5 times based on linear OOA(4⁴⁹, 26, F₄, 2, 42) (dual of [(26, 2), 3, 43]-NRT-code), using

2 step truncation [i] based on linear OOA(4⁵¹, 27, F₄, 2, 44) (dual of [(27, 2), 3, 45]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(4¹⁵, 9, F₄, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
    - the Hermitian function field over F₄ [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		Method
1	Linear OOA(4²⁵⁷, 130, F₄, 2, 213) (dual of [(130, 2), 3, 214]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(4²⁵⁷, 130, F₄, 2, 212) (dual of [(130, 2), 3, 213]-NRT-code)	[i]
3	Linear OOA(4²⁵⁷, 130, F₄, 2, 211) (dual of [(130, 2), 3, 212]-NRT-code)	[i]
4	Linear OOA(4²⁵⁷, 130, F₄, 2, 210) (dual of [(130, 2), 3, 211]-NRT-code)	[i]
5	Linear OOA(4²⁵⁷, 130, F₄, 2, 209) (dual of [(130, 2), 3, 210]-NRT-code)	[i]
6	Linear OOA(4²⁵⁷, 130, F₄, 2, 208) (dual of [(130, 2), 3, 209]-NRT-code)	[i]