MinT - Information on Result #2444488

Information on Result #2444488

Linear OOA(4²²⁸, 120, F₄, 2, 166) (dual of [(120, 2), 12, 167]-NRT-code), using strength reduction based on linear OOA(4²²⁸, 120, F₄, 2, 167) (dual of [(120, 2), 12, 168]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(64²⁰, 24, F₆₄, 20) (dual of [24, 4, 21]-code or 24-arc in PG(19,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁰, 64, F₆₄, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
    - Reedâ€“Solomon code RS(44,64) [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(4²²⁷, 119, F₄, 2, 165) (dual of [(119, 2), 11, 166]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(4²²⁶, 119, F₄, 2, 164) (dual of [(119, 2), 12, 165]-NRT-code)	[i]
3	Linear OOA(4²²⁵, 118, F₄, 2, 163) (dual of [(118, 2), 11, 164]-NRT-code)	[i]
4	Linear OOA(4²²⁴, 118, F₄, 2, 162) (dual of [(118, 2), 12, 163]-NRT-code)	[i]
5	Linear OOA(4²²³, 117, F₄, 2, 161) (dual of [(117, 2), 11, 162]-NRT-code)	[i]
6	Linear OOA(4²²², 117, F₄, 2, 160) (dual of [(117, 2), 12, 161]-NRT-code)	[i]
7	Linear OOA(4²²¹, 116, F₄, 2, 159) (dual of [(116, 2), 11, 160]-NRT-code)	[i]
8	Linear OOA(4²²⁰, 116, F₄, 2, 158) (dual of [(116, 2), 12, 159]-NRT-code)	[i]
9	Linear OOA(4²¹⁹, 115, F₄, 2, 157) (dual of [(115, 2), 11, 158]-NRT-code)	[i]