MinT - Information on Result #2250881

Information on Result #2250881

Linear OA(8¹⁵¹, 169, F₈, 102) (dual of [169, 18, 103]-code), using 1 times truncation based on linear OA(8¹⁵², 170, F₈, 103) (dual of [170, 18, 104]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁵, 34, F₆₄, 25) (dual of [34, 9, 26]-code or 34-arc in PG(24,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁵, 64, F₆₄, 25) (dual of [64, 39, 26]-code or 64-arc in PG(24,64)), using
    - Reedâ€“Solomon code RS(39,64) [i]
2. linear OA(8³, 5, F₈, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,8) or 5-cap in PG(2,8)), using
  - discarding factors / shortening the dual code based on linear OA(8³, 8, F₈, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), using
    - Reedâ€“Solomon code RS(5,8) [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(8¹⁵¹, 84, F₈, 2, 102) (dual of [(84, 2), 17, 103]-NRT-code)	[i]		OOA Folding
2	Linear OOA(8¹⁵¹, 56, F₈, 3, 102) (dual of [(56, 3), 17, 103]-NRT-code)	[i]		OOA Folding