Information on Result #1719037
Linear OOA(4153, 16400, F4, 27, 23) (dual of [(16400, 27), 442647, 24]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OOA(4153, 65601, F4, 3, 23) (dual of [(65601, 3), 196650, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4153, 65601, F4, 23) (dual of [65601, 65448, 24]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4151, 65598, F4, 23) (dual of [65598, 65447, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(14) [i] based on
- linear OA(4137, 65536, F4, 23) (dual of [65536, 65399, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(489, 65536, F4, 15) (dual of [65536, 65447, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(414, 62, F4, 7) (dual of [62, 48, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(414, 65, F4, 7) (dual of [65, 51, 8]-code), using
- a “GraXX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(414, 65, F4, 7) (dual of [65, 51, 8]-code), using
- construction X applied to Ce(22) ⊂ Ce(14) [i] based on
- linear OA(4151, 65599, F4, 21) (dual of [65599, 65448, 22]-code), using Gilbert–Varšamov bound and bm = 4151 > Vbs−1(k−1) = 3110 989683 498237 211267 333276 558121 313606 589535 567289 056678 740726 533973 973555 303373 801811 [i]
- linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(4151, 65598, F4, 23) (dual of [65598, 65447, 24]-code), using
- construction X with Varšamov bound [i] based on
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 (130, 153, 16400)-net over F4 | [i] | Net Defined by OOA | |