Information on Result #898793
Linear OOA(16108, 2098, F16, 2, 31) (dual of [(2098, 2), 4088, 32]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1620, 49, F16, 2, 15) (dual of [(49, 2), 78, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,82P) [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, using
- linear OOA(1688, 2049, F16, 2, 31) (dual of [(2049, 2), 4010, 32]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1688, 4098, F16, 31) (dual of [4098, 4010, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(1688, 4099, F16, 31) (dual of [4099, 4011, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- linear OA(1688, 4096, F16, 31) (dual of [4096, 4008, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(1685, 4096, F16, 30) (dual of [4096, 4011, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(160, 3, F16, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- discarding factors / shortening the dual code based on linear OA(1688, 4099, F16, 31) (dual of [4099, 4011, 32]-code), using
- OOA 2-folding [i] based on linear OA(1688, 4098, F16, 31) (dual of [4098, 4010, 32]-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.