MinT - Information on Result #2251047

Information on Result #2251047

Linear OA(8¹⁵⁸, 178, F₈, 105) (dual of [178, 20, 106]-code), using 2 times truncation based on linear OA(8¹⁶⁰, 180, F₈, 107) (dual of [180, 20, 108]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁵, 45, F₆₄, 35) (dual of [45, 10, 36]-code or 45-arc in PG(34,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³⁵, 64, F₆₄, 35) (dual of [64, 29, 36]-code or 64-arc in PG(34,64)), using
    - Reedâ€“Solomon code RS(29,64) [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(8¹⁵⁸, 89, F₈, 2, 105) (dual of [(89, 2), 20, 106]-NRT-code)	[i]		OOA Folding
2	Linear OOA(8¹⁵⁸, 59, F₈, 3, 105) (dual of [(59, 3), 19, 106]-NRT-code)	[i]		OOA Folding