MinT - Information on Result #2253878

Information on Result #2253878

Linear OA(9¹²⁶, 170, F₉, 70) (dual of [170, 44, 71]-code), using 1 times truncation based on linear OA(9¹²⁷, 171, F₉, 71) (dual of [171, 44, 72]-code), using

concatenation of two codes [i] based on
1. linear OA(81³⁵, 57, F₈₁, 35) (dual of [57, 22, 36]-code or 57-arc in PG(34,81)), using
  - discarding factors / shortening the dual code based on linear OA(81³⁵, 81, F₈₁, 35) (dual of [81, 46, 36]-code or 81-arc in PG(34,81)), using
    - Reedâ€“Solomon code RS(46,81) [i]
2. linear OA(9¹, 3, F₉, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(9¹, s, F₉, 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(9¹²⁶, 85, F₉, 2, 70) (dual of [(85, 2), 44, 71]-NRT-code)	[i]		OOA Folding
2	Linear OOA(9¹²⁶, 56, F₉, 3, 70) (dual of [(56, 3), 42, 71]-NRT-code)	[i]		OOA Folding