MinT - Information on Result #2623838

Information on Result #2623838

Linear OOA(3¹⁶², 56, F₃, 3, 128) (dual of [(56, 3), 6, 129]-NRT-code), using strength reduction based on linear OOA(3¹⁶², 56, F₃, 3, 129) (dual of [(56, 3), 6, 130]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(27¹², 14, F₂₇, 12) (dual of [14, 2, 13]-code or 14-arc in PG(11,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹², 27, F₂₇, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), using
    - Reedâ€“Solomon code RS(15,27) [i]
2. linear OOA(3⁹, 4, F₃, 3, 9) (dual of [(4, 3), 3, 10]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;3,3) [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		This result only	Method
1	Linear OOA(3¹⁵⁹, 55, F₃, 3, 125) (dual of [(55, 3), 6, 126]-NRT-code)	[i]		Truncation for OOAs
2	Linear OOA(3¹⁵⁶, 54, F₃, 3, 122) (dual of [(54, 3), 6, 123]-NRT-code)	[i]		Truncation for OOAs