MinT - Information on Result #2442911

Information on Result #2442911

Linear OOA(4²⁰¹, 105, F₄, 2, 150) (dual of [(105, 2), 9, 151]-NRT-code), using strength reduction based on linear OOA(4²⁰¹, 105, F₄, 2, 151) (dual of [(105, 2), 9, 152]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(64¹⁸, 21, F₆₄, 18) (dual of [21, 3, 19]-code or 21-arc in PG(17,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹⁸, 64, F₆₄, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), using
    - Reedâ€“Solomon code RS(46,64) [i]
2. 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]

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(4²⁰⁰, 104, F₄, 2, 149) (dual of [(104, 2), 8, 150]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(4¹⁹⁹, 104, F₄, 2, 148) (dual of [(104, 2), 9, 149]-NRT-code)	[i]
3	Linear OOA(4¹⁹⁸, 103, F₄, 2, 147) (dual of [(103, 2), 8, 148]-NRT-code)	[i]
4	Linear OOA(4¹⁹⁷, 103, F₄, 2, 146) (dual of [(103, 2), 9, 147]-NRT-code)	[i]
5	Linear OOA(4¹⁹⁵, 102, F₄, 2, 144) (dual of [(102, 2), 9, 145]-NRT-code)	[i]
6	Linear OOA(4¹⁹³, 101, F₄, 2, 142) (dual of [(101, 2), 9, 143]-NRT-code)	[i]