MinT - Information on Result #2250578

Information on Result #2250578

Linear OA(8¹⁶⁰, 172, F₈, 117) (dual of [172, 12, 118]-code), using 2 times truncation based on linear OA(8¹⁶², 174, F₈, 119) (dual of [174, 12, 120]-code), using

concatenation of two codes [i] based on
1. linear OA(64²³, 29, F₆₄, 23) (dual of [29, 6, 24]-code or 29-arc in PG(22,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²³, 64, F₆₄, 23) (dual of [64, 41, 24]-code or 64-arc in PG(22,64)), using
    - Reedâ€“Solomon code RS(41,64) [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(8¹⁶⁰, 86, F₈, 2, 117) (dual of [(86, 2), 12, 118]-NRT-code)	[i]		OOA Folding
2	Linear OOA(8¹⁶⁰, 57, F₈, 3, 117) (dual of [(57, 3), 11, 118]-NRT-code)	[i]		OOA Folding