MinT - Information on Result #918157

Information on Result #918157

Linear OOA(4¹⁹⁶, 110, F₄, 2, 127) (dual of [(110, 2), 24, 128]-NRT-code), using concatenation of two NRT-codes based on

linear OOA(16³², 22, F₁₆, 2, 31) (dual of [(22, 2), 12, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16³², 24, F₁₆, 2, 31) (dual of [(24, 2), 16, 32]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,16P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [i]
linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reedâ€“Solomon code RS_e(2,4) [i]
- Simplex code S(2,4) [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(4¹⁹⁶, 110, F₄, 2, 126) (dual of [(110, 2), 24, 127]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4¹⁹⁶, 110, F₄, 2, 125) (dual of [(110, 2), 24, 126]-NRT-code)	[i]
3	Linear OOA(4¹⁹⁶, 110, F₄, 2, 124) (dual of [(110, 2), 24, 125]-NRT-code)	[i]
4	Linear OOA(4¹⁹⁷, 110, F₄, 2, 127) (dual of [(110, 2), 23, 128]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(4¹⁹⁵, 109, F₄, 2, 126) (dual of [(109, 2), 23, 127]-NRT-code)	[i]		Truncation for OOAs
6	Linear OOA(4¹⁹⁴, 109, F₄, 2, 125) (dual of [(109, 2), 24, 126]-NRT-code)	[i]
7	Linear OOA(4¹⁹³, 108, F₄, 2, 124) (dual of [(108, 2), 23, 125]-NRT-code)	[i]
8	Linear OOA(4¹⁹², 108, F₄, 2, 123) (dual of [(108, 2), 24, 124]-NRT-code)	[i]
9	Linear OOA(4¹⁹¹, 107, F₄, 2, 122) (dual of [(107, 2), 23, 123]-NRT-code)	[i]
10	Linear OOA(4¹⁹⁰, 107, F₄, 2, 121) (dual of [(107, 2), 24, 122]-NRT-code)	[i]
11	Linear OOA(4¹⁸⁹, 106, F₄, 2, 120) (dual of [(106, 2), 23, 121]-NRT-code)	[i]
12	Linear OOA(4¹⁸⁸, 106, F₄, 2, 119) (dual of [(106, 2), 24, 120]-NRT-code)	[i]
13	Linear OOA(4¹⁸⁷, 105, F₄, 2, 118) (dual of [(105, 2), 23, 119]-NRT-code)	[i]
14	Linear OOA(4¹⁸⁵, 104, F₄, 2, 116) (dual of [(104, 2), 23, 117]-NRT-code)	[i]