Information on Result #1013363
Linear OOA(5126, 130230, F5, 3, 18) (dual of [(130230, 3), 390564, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(512, 16, F5, 3, 9) (dual of [(16, 3), 36, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,38P) [i] based on function field F/F5 with g(F) = 3 and N(F) ≥ 16, using
- linear OOA(5114, 130214, F5, 3, 18) (dual of [(130214, 3), 390528, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5114, 390642, F5, 18) (dual of [390642, 390528, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(15) [i] based on
- linear OA(5113, 390625, F5, 18) (dual of [390625, 390512, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(597, 390625, F5, 16) (dual of [390625, 390528, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(51, 17, F5, 1) (dual of [17, 16, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(15) [i] based on
- OOA 3-folding [i] based on linear OA(5114, 390642, F5, 18) (dual of [390642, 390528, 19]-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.