MinT - Information on Result #2440728

Information on Result #2440728

Linear OOA(4¹⁵⁰, 80, F₄, 2, 110) (dual of [(80, 2), 10, 111]-NRT-code), using strength reduction based on linear OOA(4¹⁵⁰, 80, F₄, 2, 111) (dual of [(80, 2), 10, 112]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(16²⁷, 16, F₁₆, 2, 27) (dual of [(16, 2), 5, 28]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;5,16) [i]
2. 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		Method
1	Linear OOA(4¹⁴⁹, 79, F₄, 2, 109) (dual of [(79, 2), 9, 110]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(4¹⁴⁸, 79, F₄, 2, 108) (dual of [(79, 2), 10, 109]-NRT-code)	[i]
3	Linear OOA(4¹⁴⁷, 78, F₄, 2, 107) (dual of [(78, 2), 9, 108]-NRT-code)	[i]
4	Linear OOA(4¹⁴⁶, 78, F₄, 2, 106) (dual of [(78, 2), 10, 107]-NRT-code)	[i]
5	Linear OOA(4¹⁴⁵, 77, F₄, 2, 105) (dual of [(77, 2), 9, 106]-NRT-code)	[i]
6	Linear OOA(4¹⁴⁴, 77, F₄, 2, 104) (dual of [(77, 2), 10, 105]-NRT-code)	[i]
7	Linear OOA(4¹⁴³, 76, F₄, 2, 103) (dual of [(76, 2), 9, 104]-NRT-code)	[i]
8	Linear OOA(4¹⁴², 76, F₄, 2, 102) (dual of [(76, 2), 10, 103]-NRT-code)	[i]