Information on Result #1013386
Linear OOA(5150, 651066, F5, 3, 19) (dual of [(651066, 3), 1953048, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(513, 18, F5, 3, 9) (dual of [(18, 3), 41, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,44P) [i] based on function field F/F5 with g(F) = 4 and N(F) ≥ 18, using
- linear OOA(5137, 651048, F5, 3, 19) (dual of [(651048, 3), 1953007, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5137, 1953144, F5, 19) (dual of [1953144, 1953007, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- linear OA(5136, 1953125, F5, 19) (dual of [1953125, 1952989, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 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(51, 19, F5, 1) (dual of [19, 18, 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(18) ⊂ Ce(16) [i] based on
- OOA 3-folding [i] based on linear OA(5137, 1953144, F5, 19) (dual of [1953144, 1953007, 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.