Information on Result #1016453
Linear OOA(9120, 19724, F9, 3, 23) (dual of [(19724, 3), 59052, 24]-NRT-code), using (u, u+v)-construction based on
- linear OOA(919, 40, F9, 3, 11) (dual of [(40, 3), 101, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,108P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- linear OOA(9101, 19684, F9, 3, 23) (dual of [(19684, 3), 58951, 24]-NRT-code), using
- OOA 3-folding [i] based on linear OA(9101, 59052, F9, 23) (dual of [59052, 58951, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(9101, 59054, F9, 23) (dual of [59054, 58953, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(9101, 59049, F9, 23) (dual of [59049, 58948, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(996, 59049, F9, 22) (dual of [59049, 58953, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(90, 5, F9, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(9101, 59054, F9, 23) (dual of [59054, 58953, 24]-code), using
- OOA 3-folding [i] based on linear OA(9101, 59052, F9, 23) (dual of [59052, 58951, 24]-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.