Information on Result #1057965
Linear OOA(2212, 63, F2, 4, 88) (dual of [(63, 4), 40, 89]-NRT-code), using OOA 2-folding based on linear OOA(2212, 126, F2, 2, 88) (dual of [(126, 2), 40, 89]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2210, 125, F2, 2, 88) (dual of [(125, 2), 40, 89]-NRT-code), using
- strength reduction [i] based on linear OOA(2210, 125, F2, 2, 89) (dual of [(125, 2), 40, 90]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(3217, 25, F32, 17) (dual of [25, 8, 18]-code or 25-arc in PG(16,32)), using
- discarding factors / shortening the dual code based on linear OA(3217, 32, F32, 17) (dual of [32, 15, 18]-code or 32-arc in PG(16,32)), using
- Reed–Solomon code RS(15,32) [i]
- discarding factors / shortening the dual code based on linear OA(3217, 32, F32, 17) (dual of [32, 15, 18]-code or 32-arc in PG(16,32)), using
- linear OOA(25, 5, F2, 2, 4) (dual of [(5, 2), 5, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,5P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OA(3217, 25, F32, 17) (dual of [25, 8, 18]-code or 25-arc in PG(16,32)), using
- concatenation of two NRT-codes [i] based on
- strength reduction [i] based on linear OOA(2210, 125, F2, 2, 89) (dual of [(125, 2), 40, 90]-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.