MinT - Information on Result #2250428

Information on Result #2250428

Linear OA(8¹⁴², 154, F₈, 102) (dual of [154, 12, 103]-code), using 2 times truncation based on linear OA(8¹⁴⁴, 156, F₈, 104) (dual of [156, 12, 105]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁰, 26, F₆₄, 20) (dual of [26, 6, 21]-code or 26-arc in PG(19,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁰, 64, F₆₄, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
    - Reedâ€“Solomon code RS(44,64) [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(8¹⁴², 77, F₈, 2, 102) (dual of [(77, 2), 12, 103]-NRT-code)	[i]		OOA Folding
2	Linear OOA(8¹⁴², 51, F₈, 3, 102) (dual of [(51, 3), 11, 103]-NRT-code)	[i]		OOA Folding