MinT - Information on Result #2204333

Information on Result #2204333

Linear OA(4¹⁸⁶, 270, F₄, 79) (dual of [270, 84, 80]-code), using strength reduction based on linear OA(4¹⁸⁶, 270, F₄, 80) (dual of [270, 84, 81]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁶, 54, F₆₄, 26) (dual of [54, 28, 27]-code or 54-arc in PG(25,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁶, 64, F₆₄, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), using
    - Reedâ€“Solomon code RS(38,64) [i]
2. linear OA(4², 5, F₄, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
  - extended Reedâ€“Solomon code RS_e(3,4) [i]
  - Hamming code H(2,4) [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 OA(4¹⁸⁵, 269, F₄, 78) (dual of [269, 84, 79]-code)	[i]	Truncation
2	Linear OOA(4¹⁸⁶, 135, F₄, 2, 79) (dual of [(135, 2), 84, 80]-NRT-code)	[i]	OOA Folding
3	Linear OOA(4¹⁸⁶, 90, F₄, 3, 79) (dual of [(90, 3), 84, 80]-NRT-code)	[i]	OOA Folding