MinT - Information on Result #1022040

Information on Result #1022040

Linear OOA(49²³, 2450, F₄₉, 3, 9) (dual of [(2450, 3), 7327, 10]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(49⁰, s, F₄₉, 3, 0) for arbitrarily large s, using
  - OOA with only one run / dual of NRT-code without redundancy [i]
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
linear OOA(49¹, 50, F₄₉, 3, 1) (dual of [(50, 3), 149, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(49¹, s, F₄₉, 3, 1) for arbitrarily large s, using
  - appending 2 arbitrary columns [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, 3, 1) (dual of [(50, 3), 149, 2]-NRT-code) (see above)
linear OOA(49¹, 50, F₄₉, 3, 1) (dual of [(50, 3), 149, 2]-NRT-code) (see above)
linear OOA(49¹, 50, F₄₉, 3, 1) (dual of [(50, 3), 149, 2]-NRT-code) (see above)
linear OOA(49¹, 50, F₄₉, 3, 1) (dual of [(50, 3), 149, 2]-NRT-code) (see above)
linear OOA(49², 50, F₄₉, 3, 2) (dual of [(50, 3), 148, 3]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;148,49) [i]
linear OOA(49³, 50, F₄₉, 3, 3) (dual of [(50, 3), 147, 4]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;147,49) [i]
linear OOA(49⁴, 50, F₄₉, 3, 4) (dual of [(50, 3), 146, 5]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;146,49) [i]
linear OOA(49⁹, 50, F₄₉, 3, 9) (dual of [(50, 3), 141, 10]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;141,49) [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.