MinT - Information on Result #2250480

Information on Result #2250480

Linear OA(8¹⁴⁷, 159, F₈, 106) (dual of [159, 12, 107]-code), using 3 times truncation based on linear OA(8¹⁵⁰, 162, F₈, 109) (dual of [162, 12, 110]-code), using

concatenation of two codes [i] based on
1. linear OA(64²¹, 27, F₆₄, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²¹, 64, F₆₄, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), using
    - Reedâ€“Solomon code RS(43,64) [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(8¹⁴⁷, 79, F₈, 2, 106) (dual of [(79, 2), 11, 107]-NRT-code)	[i]		OOA Folding
2	Linear OOA(8¹⁴⁷, 53, F₈, 3, 106) (dual of [(53, 3), 12, 107]-NRT-code)	[i]		OOA Folding