MinT - Information on Result #2234335

Information on Result #2234335

Linear OA(3²²⁵, 279, F₃, 92) (dual of [279, 54, 93]-code), using 1 times truncation based on linear OA(3²²⁶, 280, F₃, 93) (dual of [280, 54, 94]-code), using

concatenation of two codes [i] based on
1. linear OA(27⁵², 70, F₂₇, 46) (dual of [70, 18, 47]-code), using
  - discarding factors / shortening the dual code based on linear OA(27⁵², 75, F₂₇, 46) (dual of [75, 23, 47]-code), using
    - algebraic-geometric code AG(F,28P) [i] based on function field F/F₂₇ with g(F) = 6 and N(F) ≥ 76, using
      - a function field by SÃ©mirat [i]
2. linear OA(3¹, 4, F₃, 1) (dual of [4, 3, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 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(3²²⁵, 139, F₃, 2, 92) (dual of [(139, 2), 53, 93]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²²⁵, 93, F₃, 3, 92) (dual of [(93, 3), 54, 93]-NRT-code)	[i]		OOA Folding