MinT - Information on Result #1084739

Information on Result #1084739

Linear OOA(81²⁷, 6642, F₈₁, 4, 10) (dual of [(6642, 4), 26541, 11]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(81⁰, s, F₈₁, 4, 0) for arbitrarily large s, using
  - OOA with only one run / dual of NRT-code without redundancy [i]
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81⁰, 82, F₈₁, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
linear OOA(81¹, 82, F₈₁, 4, 1) (dual of [(82, 4), 327, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(81¹, s, F₈₁, 4, 1) for arbitrarily large s, using
  - appending 3 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, 4, 1) (dual of [(82, 4), 327, 2]-NRT-code) (see above)
linear OOA(81¹, 82, F₈₁, 4, 1) (dual of [(82, 4), 327, 2]-NRT-code) (see above)
linear OOA(81¹, 82, F₈₁, 4, 1) (dual of [(82, 4), 327, 2]-NRT-code) (see above)
linear OOA(81¹, 82, F₈₁, 4, 1) (dual of [(82, 4), 327, 2]-NRT-code) (see above)
linear OOA(81², 82, F₈₁, 4, 2) (dual of [(82, 4), 326, 3]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(4;326,81) [i]
linear OOA(81², 82, F₈₁, 4, 2) (dual of [(82, 4), 326, 3]-NRT-code) (see above)
linear OOA(81³, 82, F₈₁, 4, 3) (dual of [(82, 4), 325, 4]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(4;325,81) [i]
linear OOA(81⁵, 82, F₈₁, 4, 5) (dual of [(82, 4), 323, 6]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(4;323,81) [i]
linear OOA(81¹⁰, 82, F₈₁, 4, 10) (dual of [(82, 4), 318, 11]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(4;318,81) [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.