Information on Result #1012017
Linear OOA(4112, 5478, F4, 3, 19) (dual of [(5478, 3), 16322, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(413, 15, F4, 3, 9) (dual of [(15, 3), 32, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,35P) [i] based on function field F/F4 with g(F) = 4 and N(F) ≥ 15, using
- linear OOA(499, 5463, F4, 3, 19) (dual of [(5463, 3), 16290, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(499, 16389, F4, 19) (dual of [16389, 16290, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(499, 16391, F4, 19) (dual of [16391, 16292, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(499, 16384, F4, 19) (dual of [16384, 16285, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(40, 7, F4, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(499, 16391, F4, 19) (dual of [16391, 16292, 20]-code), using
- OOA 3-folding [i] based on linear OA(499, 16389, F4, 19) (dual of [16389, 16290, 20]-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.