Information on Result #1013340
Linear OOA(5130, 651062, F5, 3, 17) (dual of [(651062, 3), 1953056, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(512, 18, F5, 3, 8) (dual of [(18, 3), 42, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,45P) [i] based on function field F/F5 with g(F) = 4 and N(F) ≥ 18, using
- linear OOA(5118, 651044, F5, 3, 17) (dual of [(651044, 3), 1953014, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5118, 1953132, F5, 17) (dual of [1953132, 1953014, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(5118, 1953134, F5, 17) (dual of [1953134, 1953016, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(5118, 1953125, F5, 17) (dual of [1953125, 1953007, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(5109, 1953125, F5, 16) (dual of [1953125, 1953016, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(50, 9, F5, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(5118, 1953134, F5, 17) (dual of [1953134, 1953016, 18]-code), using
- OOA 3-folding [i] based on linear OA(5118, 1953132, F5, 17) (dual of [1953132, 1953014, 18]-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.