MinT - Information on Result #2443307

Information on Result #2443307

Linear OOA(4²⁰⁸, 110, F₄, 2, 150) (dual of [(110, 2), 12, 151]-NRT-code), using strength reduction based on linear OOA(4²⁰⁸, 110, F₄, 2, 151) (dual of [(110, 2), 12, 152]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(64¹⁸, 22, F₆₄, 18) (dual of [22, 4, 19]-code or 22-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(4²⁰⁷, 109, F₄, 2, 149) (dual of [(109, 2), 11, 150]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(4²⁰⁶, 109, F₄, 2, 148) (dual of [(109, 2), 12, 149]-NRT-code)	[i]
3	Linear OOA(4²⁰⁵, 108, F₄, 2, 147) (dual of [(108, 2), 11, 148]-NRT-code)	[i]
4	Linear OOA(4²⁰⁴, 108, F₄, 2, 146) (dual of [(108, 2), 12, 147]-NRT-code)	[i]
5	Linear OOA(4²⁰³, 107, F₄, 2, 145) (dual of [(107, 2), 11, 146]-NRT-code)	[i]
6	Linear OOA(4²⁰², 107, F₄, 2, 144) (dual of [(107, 2), 12, 145]-NRT-code)	[i]
7	Linear OOA(4²⁰¹, 106, F₄, 2, 143) (dual of [(106, 2), 11, 144]-NRT-code)	[i]
8	Linear OOA(4²⁰⁰, 106, F₄, 2, 142) (dual of [(106, 2), 12, 143]-NRT-code)	[i]
9	Linear OOA(4¹⁹⁹, 105, F₄, 2, 141) (dual of [(105, 2), 11, 142]-NRT-code)	[i]