MinT - Information on Result #2814432

Information on Result #2814432

Linear OOA(3²³⁷, 106, F₃, 4, 128) (dual of [(106, 4), 187, 129]-NRT-code), using strength reduction based on linear OOA(3²³⁷, 106, F₃, 4, 129) (dual of [(106, 4), 187, 130]-NRT-code), using

constructionÂ X applied to AG(4;F,282P) âŠ‚ AG(4;F,289P) [i] based on
1. linear OOA(3²³¹, 103, F₃, 4, 129) (dual of [(103, 4), 181, 130]-NRT-code), using algebraic-geometric NRT-code AG(4;F,282P) [i] based on function field F/F₃ with g(F) = 102 and N(F) ≥ 104, using
  - algebraic function fields over â„¤₃ by Niederreiter/Xing [i]
2. linear OOA(3²²⁴, 103, F₃, 4, 122) (dual of [(103, 4), 188, 123]-NRT-code), using algebraic-geometric NRT-code AG(4;F,289P) [i] based on function field F/F₃ with g(F) = 102 and N(F) ≥ 104 (see above)
3. linear OOA(3⁶, 3, F₃, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(4;6,3) [i]

Mode: 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.