MinT - Information on Result #1022521

Information on Result #1022521

Linear OOA(81²³, 6642, F₈₁, 3, 9) (dual of [(6642, 3), 19903, 10]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(81⁰, s, F₈₁, 3, 0) for arbitrarily large s, using
  - OOA with only one run / dual of NRT-code without redundancy [i]
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 3, 0) (dual of [(82, 3), 246, 1]-NRT-code) (see above)
linear OOA(81¹, 82, F₈₁, 3, 1) (dual of [(82, 3), 245, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(81¹, s, F₈₁, 3, 1) for arbitrarily large s, using
  - appending 2 arbitrary columns [i] based on linear OA(81¹, s, F₈₁, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [i]
linear OOA(81¹, 82, F₈₁, 3, 1) (dual of [(82, 3), 245, 2]-NRT-code) (see above)
linear OOA(81¹, 82, F₈₁, 3, 1) (dual of [(82, 3), 245, 2]-NRT-code) (see above)
linear OOA(81¹, 82, F₈₁, 3, 1) (dual of [(82, 3), 245, 2]-NRT-code) (see above)
linear OOA(81¹, 82, F₈₁, 3, 1) (dual of [(82, 3), 245, 2]-NRT-code) (see above)
linear OOA(81², 82, F₈₁, 3, 2) (dual of [(82, 3), 244, 3]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;244,81) [i]
linear OOA(81³, 82, F₈₁, 3, 3) (dual of [(82, 3), 243, 4]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;243,81) [i]
linear OOA(81⁴, 82, F₈₁, 3, 4) (dual of [(82, 3), 242, 5]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;242,81) [i]
linear OOA(81⁹, 82, F₈₁, 3, 9) (dual of [(82, 3), 237, 10]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;237,81) [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

None.