Information on Result #898225
Linear OOA(1619, 2066, F16, 2, 6) (dual of [(2066, 2), 4113, 7]-NRT-code), using (u, u+v)-construction based on
- linear OOA(163, 17, F16, 2, 3) (dual of [(17, 2), 31, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;31,16) [i]
- linear OOA(1616, 2049, F16, 2, 6) (dual of [(2049, 2), 4082, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1616, 4098, F16, 6) (dual of [4098, 4082, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(1616, 4099, F16, 6) (dual of [4099, 4083, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(1616, 4096, F16, 6) (dual of [4096, 4080, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(1613, 4096, F16, 5) (dual of [4096, 4083, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(5) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(1616, 4099, F16, 6) (dual of [4099, 4083, 7]-code), using
- OOA 2-folding [i] based on linear OA(1616, 4098, F16, 6) (dual of [4098, 4082, 7]-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.