Information on Result #897581
Linear OOA(9128, 2391521, F9, 2, 19) (dual of [(2391521, 2), 4782914, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(912, 28, F9, 2, 9) (dual of [(28, 2), 44, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,46P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(2;F,46P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OOA(9116, 2391493, F9, 2, 19) (dual of [(2391493, 2), 4782870, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9116, 4782986, F9, 19) (dual of [4782986, 4782870, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- linear OA(9113, 4782969, F9, 19) (dual of [4782969, 4782856, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(999, 4782969, F9, 16) (dual of [4782969, 4782870, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(93, 17, F9, 2) (dual of [17, 14, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- OOA 2-folding [i] based on linear OA(9116, 4782986, F9, 19) (dual of [4782986, 4782870, 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.