Information on Result #898824
Linear OOA(16115, 2118, F16, 2, 32) (dual of [(2118, 2), 4121, 33]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1622, 65, F16, 2, 16) (dual of [(65, 2), 108, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,113P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric NRT-code AGe(2;F,113P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OOA(1693, 2053, F16, 2, 32) (dual of [(2053, 2), 4013, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1693, 4106, F16, 32) (dual of [4106, 4013, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(1693, 4107, F16, 32) (dual of [4107, 4014, 33]-code), using
- 1 times truncation [i] based on linear OA(1694, 4108, F16, 33) (dual of [4108, 4014, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(28) [i] based on
- linear OA(1691, 4096, F16, 33) (dual of [4096, 4005, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(1682, 4096, F16, 29) (dual of [4096, 4014, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(163, 12, F16, 3) (dual of [12, 9, 4]-code or 12-arc in PG(2,16) or 12-cap in PG(2,16)), using
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- Reed–Solomon code RS(13,16) [i]
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- construction X applied to Ce(32) ⊂ Ce(28) [i] based on
- 1 times truncation [i] based on linear OA(1694, 4108, F16, 33) (dual of [4108, 4014, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(1693, 4107, F16, 32) (dual of [4107, 4014, 33]-code), using
- OOA 2-folding [i] based on linear OA(1693, 4106, F16, 32) (dual of [4106, 4013, 33]-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.