MinT - Information on Result #2423621

Information on Result #2423621

Linear OOA(2¹⁹², 98, F₂, 2, 128) (dual of [(98, 2), 4, 129]-NRT-code), using strength reduction based on linear OOA(2¹⁹², 98, F₂, 2, 129) (dual of [(98, 2), 4, 130]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
  - an explicit generator matrix by Edel [i]
2. linear OOA(2¹⁷⁶, 90, F₂, 2, 119) (dual of [(90, 2), 4, 120]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(4²⁸, 30, F₄, 23) (dual of [30, 2, 24]-code), using
      - repeating each code word 6 times [i] based on 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]
    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(2¹⁸⁵, 94, F₂, 2, 121) (dual of [(94, 2), 3, 122]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(2¹⁷⁸, 91, F₂, 2, 114) (dual of [(91, 2), 4, 115]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(2¹⁹², 49, F₂, 4, 128) (dual of [(49, 4), 4, 129]-NRT-code)	[i]	OOA Folding