MinT - Information on Result #909951

Information on Result #909951

Linear OOA(4²⁴¹, 122, F₄, 2, 202) (dual of [(122, 2), 3, 203]-NRT-code), using juxtaposition based on

linear OOA(4⁷, 5, F₄, 2, 7) (dual of [(5, 2), 3, 8]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(2;3,4) [i]
linear OOA(4²³¹, 117, F₄, 2, 194) (dual of [(117, 2), 3, 195]-NRT-code), using
- repeating each code word 13 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		This result only	Method
1	Linear OOA(4²⁴¹, 122, F₄, 2, 201) (dual of [(122, 2), 3, 202]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4²⁴¹, 122, F₄, 2, 200) (dual of [(122, 2), 3, 201]-NRT-code)	[i]
3	Linear OOA(4²⁴¹, 122, F₄, 2, 199) (dual of [(122, 2), 3, 200]-NRT-code)	[i]
4	Linear OOA(4²⁴¹, 122, F₄, 2, 198) (dual of [(122, 2), 3, 199]-NRT-code)	[i]
5	Linear OOA(4²⁴¹, 122, F₄, 2, 197) (dual of [(122, 2), 3, 198]-NRT-code)	[i]
6	Linear OOA(4²⁴¹, 122, F₄, 2, 196) (dual of [(122, 2), 3, 197]-NRT-code)	[i]
7	Linear OOA(4²⁴¹, 122, F₄, 2, 195) (dual of [(122, 2), 3, 196]-NRT-code)	[i]
8	Linear OOA(4²⁴¹, 122, F₄, 2, 194) (dual of [(122, 2), 3, 195]-NRT-code)	[i]
9	Linear OOA(4²⁴¹, 122, F₄, 2, 193) (dual of [(122, 2), 3, 194]-NRT-code)	[i]
10	Linear OOA(4²⁵¹, 127, F₄, 2, 210) (dual of [(127, 2), 3, 211]-NRT-code)	[i]		Juxtaposition for OOAs