Information on Result #1014960
Linear OOA(8124, 10952, F8, 3, 25) (dual of [(10952, 3), 32732, 26]-NRT-code), using (u, u+v)-construction based on
- linear OOA(817, 28, F8, 3, 12) (dual of [(28, 3), 67, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,71P) [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, using
- linear OOA(8107, 10924, F8, 3, 25) (dual of [(10924, 3), 32665, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8107, 32772, F8, 25) (dual of [32772, 32665, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(8107, 32774, F8, 25) (dual of [32774, 32667, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(8101, 32768, F8, 23) (dual of [32768, 32667, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(81, 6, F8, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(8107, 32774, F8, 25) (dual of [32774, 32667, 26]-code), using
- OOA 3-folding [i] based on linear OA(8107, 32772, F8, 25) (dual of [32772, 32665, 26]-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.