Information on Result #1014941
Linear OOA(8167, 699087, F8, 3, 24) (dual of [(699087, 3), 2097094, 25]-NRT-code), using (u, u+v)-construction based on
- linear OOA(819, 34, F8, 3, 12) (dual of [(34, 3), 83, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,89P) [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using
- linear OOA(8148, 699053, F8, 3, 24) (dual of [(699053, 3), 2097011, 25]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8148, 2097159, F8, 24) (dual of [2097159, 2097011, 25]-code), using
- 1 times truncation [i] based on linear OA(8149, 2097160, F8, 25) (dual of [2097160, 2097011, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(8148, 2097152, F8, 25) (dual of [2097152, 2097004, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(8141, 2097152, F8, 23) (dual of [2097152, 2097011, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(81, 8, F8, 1) (dual of [8, 7, 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
- 1 times truncation [i] based on linear OA(8149, 2097160, F8, 25) (dual of [2097160, 2097011, 26]-code), using
- OOA 3-folding [i] based on linear OA(8148, 2097159, F8, 24) (dual of [2097159, 2097011, 25]-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.