MinT - Information on Result #2250626

Information on Result #2250626

Linear OA(8¹⁶⁶, 178, F₈, 122) (dual of [178, 12, 123]-code), using 2 times truncation based on linear OA(8¹⁶⁸, 180, F₈, 124) (dual of [180, 12, 125]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁴, 30, F₆₄, 24) (dual of [30, 6, 25]-code or 30-arc in PG(23,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁴, 64, F₆₄, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using
    - Reedâ€“Solomon code RS(40,64) [i]
2. linear OA(8⁴, 6, F₈, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,8)), using
  - discarding factors / shortening the dual code based on linear OA(8⁴, 8, F₈, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
    - Reedâ€“Solomon code RS(4,8) [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(8¹⁶⁶, 89, F₈, 2, 122) (dual of [(89, 2), 12, 123]-NRT-code)	[i]		OOA Folding
2	Linear OOA(8¹⁶⁶, 59, F₈, 3, 122) (dual of [(59, 3), 11, 123]-NRT-code)	[i]		OOA Folding