Information on Result #896511
Linear OOA(831, 271, F8, 2, 10) (dual of [(271, 2), 511, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(86, 14, F8, 2, 5) (dual of [(14, 2), 22, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,22P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- linear OOA(825, 257, F8, 2, 10) (dual of [(257, 2), 489, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(825, 514, F8, 10) (dual of [514, 489, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(825, 515, F8, 10) (dual of [515, 490, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(825, 512, F8, 10) (dual of [512, 487, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(822, 512, F8, 9) (dual of [512, 490, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(80, 3, F8, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(825, 515, F8, 10) (dual of [515, 490, 11]-code), using
- OOA 2-folding [i] based on linear OA(825, 514, F8, 10) (dual of [514, 489, 11]-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.