MinT - Information on Result #906900

Information on Result #906900

Linear OOA(49¹⁷, 2451, F₄₉, 2, 7) (dual of [(2451, 2), 4885, 8]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(49⁰, s, F₄₉, 2, 0) for arbitrarily large s, using
  - OOA with only one run / dual of NRT-code without redundancy [i]
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
linear OOA(49¹, 50, F₄₉, 2, 1) (dual of [(50, 2), 99, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(49¹, s, F₄₉, 2, 1) for arbitrarily large s, using
  - appending 1 arbitrary column [i] based on linear OA(49¹, s, F₄₉, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [i]
linear OOA(49¹, 50, F₄₉, 2, 1) (dual of [(50, 2), 99, 2]-NRT-code) (see above)
linear OOA(49¹, 50, F₄₉, 2, 1) (dual of [(50, 2), 99, 2]-NRT-code) (see above)
linear OOA(49¹, 50, F₄₉, 2, 1) (dual of [(50, 2), 99, 2]-NRT-code) (see above)
linear OOA(49², 50, F₄₉, 2, 2) (dual of [(50, 2), 98, 3]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(2;98,49) [i]
linear OOA(49³, 50, F₄₉, 2, 3) (dual of [(50, 2), 97, 4]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(2;97,49) [i]
linear OOA(49⁸, 51, F₄₉, 2, 7) (dual of [(51, 2), 94, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 8, 51)-net over F₄₉, using
  - net from sequence [i] based on digital (1, 50)-sequence over F₄₉, using
    - Niederreiter sequence [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.