Information on Result #2475750
Linear OOA(8113, 59, F8, 2, 103) (dual of [(59, 2), 5, 104]-NRT-code), using 14 step truncation based on linear OOA(8127, 66, F8, 2, 117) (dual of [(66, 2), 5, 118]-NRT-code), using
- construction X applied to AG(2;F,10P) ⊂ AG(2;F,13P) [i] based on
- linear OOA(8125, 64, F8, 2, 117) (dual of [(64, 2), 3, 118]-NRT-code), using algebraic-geometric NRT-code AG(2;F,10P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F8 [i]
- linear OOA(8123, 64, F8, 2, 114) (dual of [(64, 2), 5, 115]-NRT-code), using algebraic-geometric NRT-code AG(2;F,13P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(82, 2, F8, 2, 2) (dual of [(2, 2), 2, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(82, 8, F8, 2, 2) (dual of [(8, 2), 14, 3]-NRT-code), using
- Reed–Solomon NRT-code RS(2;14,8) [i]
- discarding factors / shortening the dual code based on linear OOA(82, 8, F8, 2, 2) (dual of [(8, 2), 14, 3]-NRT-code), using
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.