MinT - Information on Result #2250965

Information on Result #2250965

Linear OA(8¹⁵⁹, 177, F₈, 108) (dual of [177, 18, 109]-code), using 3 times truncation based on linear OA(8¹⁶², 180, F₈, 111) (dual of [180, 18, 112]-code), using

concatenation of two codes [i] based on
1. linear OA(64²⁷, 36, F₆₄, 27) (dual of [36, 9, 28]-code or 36-arc in PG(26,64)), using
  - discarding factors / shortening the dual code based on linear OA(64²⁷, 64, F₆₄, 27) (dual of [64, 37, 28]-code or 64-arc in PG(26,64)), using
    - Reedâ€“Solomon code RS(37,64) [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(8¹⁵⁹, 88, F₈, 2, 108) (dual of [(88, 2), 17, 109]-NRT-code)	[i]		OOA Folding
2	Linear OOA(8¹⁵⁹, 59, F₈, 3, 108) (dual of [(59, 3), 18, 109]-NRT-code)	[i]		OOA Folding