Information on Result #1734093
Linear OOA(1651, 43696, F16, 14, 12) (dual of [(43696, 14), 611693, 13]-NRT-code), using OOA 3-folding and stacking with additional row based on linear OOA(1651, 131089, F16, 2, 12) (dual of [(131089, 2), 262127, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1651, 131090, F16, 2, 12) (dual of [(131090, 2), 262129, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1651, 131090, F16, 12) (dual of [131090, 131039, 13]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(1650, 131088, F16, 12) (dual of [131088, 131038, 13]-code), using
- trace code [i] based on linear OA(25625, 65544, F256, 12) (dual of [65544, 65519, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(8) [i] based on
- linear OA(25623, 65536, F256, 12) (dual of [65536, 65513, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(25617, 65536, F256, 9) (dual of [65536, 65519, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(2562, 8, F256, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,256)), using
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- Reed–Solomon code RS(254,256) [i]
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- construction X applied to Ce(11) ⊂ Ce(8) [i] based on
- trace code [i] based on linear OA(25625, 65544, F256, 12) (dual of [65544, 65519, 13]-code), using
- linear OA(1650, 131089, F16, 11) (dual of [131089, 131039, 12]-code), using Gilbert–Varšamov bound and bm = 1650 > Vbs−1(k−1) = 238 030195 374032 030705 784269 317830 412494 336250 444404 605371 [i]
- linear OA(160, 1, F16, 0) (dual of [1, 1, 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
- linear OA(1650, 131088, F16, 12) (dual of [131088, 131038, 13]-code), using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1651, 131090, F16, 12) (dual of [131090, 131039, 13]-code), using
Mode: Linear.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (39, 51, 43696)-net over F16 | [i] | Net Defined by OOA | |