MinT - Information on Result #2234054

Information on Result #2234054

Linear OA(3²¹⁵, 263, F₃, 90) (dual of [263, 48, 91]-code), using 1 times truncation based on linear OA(3²¹⁶, 264, F₃, 91) (dual of [264, 48, 92]-code), using

concatenation of two codes [i] based on
1. linear OA(27⁵⁰, 66, F₂₇, 45) (dual of [66, 16, 46]-code), using
  - discarding factors / shortening the dual code based on linear OA(27⁵⁰, 68, F₂₇, 45) (dual of [68, 18, 46]-code), using
    - extended algebraic-geometric code AG_e(F,22P) [i] based on function field F/F₂₇ with g(F) = 5 and N(F) ≥ 68, 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(3²¹⁵, 131, F₃, 2, 90) (dual of [(131, 2), 47, 91]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3²¹⁵, 87, F₃, 3, 90) (dual of [(87, 3), 46, 91]-NRT-code)	[i]		OOA Folding