MinT - Information on Result #941502

Information on Result #941502

Linear OOA(2¹⁹³, 100, F₂, 2, 117) (dual of [(100, 2), 7, 118]-NRT-code), using repeating each code word 2 times based on linear OOA(2⁹³, 50, F₂, 2, 58) (dual of [(50, 2), 7, 59]-NRT-code), using

1 step truncation [i] based on linear OOA(2⁹⁴, 51, F₂, 2, 59) (dual of [(51, 2), 8, 60]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using
    - projective code from ovoid in PG(3,Â 4) [i]
  2. linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [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(2¹⁹³, 100, F₂, 2, 116) (dual of [(100, 2), 7, 117]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2¹⁹³, 100, F₂, 2, 115) (dual of [(100, 2), 7, 116]-NRT-code)	[i]
3	Linear OOA(2¹⁹³, 100, F₂, 2, 114) (dual of [(100, 2), 7, 115]-NRT-code)	[i]
4	Linear OOA(2¹⁹³, 100, F₂, 2, 113) (dual of [(100, 2), 7, 114]-NRT-code)	[i]
5	Linear OOA(2¹⁹³, 100, F₂, 2, 112) (dual of [(100, 2), 7, 113]-NRT-code)	[i]
6	Linear OOA(2¹⁹¹, 99, F₂, 2, 115) (dual of [(99, 2), 7, 116]-NRT-code)	[i]	Truncation for OOAs
7	Linear OOA(2¹⁹³, 50, F₂, 4, 117) (dual of [(50, 4), 7, 118]-NRT-code)	[i]	OOA Folding