Information on Result #1014560
Linear OOA(8104, 699081, F8, 3, 15) (dual of [(699081, 3), 2097139, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(812, 28, F8, 3, 7) (dual of [(28, 3), 72, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,76P) [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, using
- linear OOA(892, 699053, F8, 3, 15) (dual of [(699053, 3), 2097067, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(892, 2097159, F8, 15) (dual of [2097159, 2097067, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(892, 2097152, F8, 15) (dual of [2097152, 2097060, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(885, 2097152, F8, 14) (dual of [2097152, 2097067, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(80, 7, F8, 0) (dual of [7, 7, 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(14) ⊂ Ce(13) [i] based on
- OOA 3-folding [i] based on linear OA(892, 2097159, F8, 15) (dual of [2097159, 2097067, 16]-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.