MinT - Information on Result #2251133

Information on Result #2251133

Linear OA(8¹⁴³, 171, F₈, 88) (dual of [171, 28, 89]-code), using 1 times truncation based on linear OA(8¹⁴⁴, 172, F₈, 89) (dual of [172, 28, 90]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁹, 43, F₆₄, 29) (dual of [43, 14, 30]-code or 43-arc in PG(28,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁹, 64, F₆₄, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), using
    - Reedâ€“Solomon code RS(35,64) [i]
2. linear OA(8², 4, F₈, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,8)), using
  - discarding factors / shortening the dual code based on linear OA(8², 8, F₈, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
    - Reedâ€“Solomon code RS(6,8) [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(8¹⁴³, 85, F₈, 2, 88) (dual of [(85, 2), 27, 89]-NRT-code)	[i]		OOA Folding
2	Linear OOA(8¹⁴³, 57, F₈, 3, 88) (dual of [(57, 3), 28, 89]-NRT-code)	[i]		OOA Folding