MinT - Information on Result #2251283

Information on Result #2251283

Linear OA(8¹³⁵, 179, F₈, 76) (dual of [179, 44, 77]-code), using 1 times truncation based on linear OA(8¹³⁶, 180, F₈, 77) (dual of [180, 44, 78]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁸, 60, F₆₄, 38) (dual of [60, 22, 39]-code or 60-arc in PG(37,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³⁸, 64, F₆₄, 38) (dual of [64, 26, 39]-code or 64-arc in PG(37,64)), using
    - Reedâ€“Solomon code RS(26,64) [i]
2. linear OA(8¹, 3, F₈, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(8¹, s, F₈, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [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(8¹³⁵, 89, F₈, 2, 76) (dual of [(89, 2), 43, 77]-NRT-code)	[i]		OOA Folding
2	Linear OOA(8¹³⁵, 59, F₈, 3, 76) (dual of [(59, 3), 42, 77]-NRT-code)	[i]		OOA Folding