Information on Result #1720103
Linear OOA(4252, 419439, F4, 33, 29) (dual of [(419439, 33), 13841235, 30]-NRT-code), using OOA 5-folding and stacking with additional row based on linear OOA(4252, 2097196, F4, 3, 29) (dual of [(2097196, 3), 6291336, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4252, 2097196, F4, 2, 29) (dual of [(2097196, 2), 4194140, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4252, 4194392, F4, 29) (dual of [4194392, 4194140, 30]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4247, 4194385, F4, 29) (dual of [4194385, 4194138, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(20) [i] based on
- linear OA(4232, 4194304, F4, 29) (dual of [4194304, 4194072, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4166, 4194304, F4, 21) (dual of [4194304, 4194138, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(415, 81, F4, 7) (dual of [81, 66, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(415, 85, F4, 7) (dual of [85, 70, 8]-code), using
- construction X applied to Ce(28) ⊂ Ce(20) [i] based on
- linear OA(4247, 4194387, F4, 25) (dual of [4194387, 4194140, 26]-code), using Gilbert–Varšamov bound and bm = 4247 > Vbs−1(k−1) = 400 145720 720407 198331 671405 793988 499562 497519 605049 261769 130149 629490 084429 501462 204521 992542 187264 174443 830670 517633 763192 496745 606645 641903 379304 [i]
- linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
- linear OA(4247, 4194385, F4, 29) (dual of [4194385, 4194138, 30]-code), using
- construction X with Varšamov bound [i] based on
- OOA 2-folding [i] based on linear OA(4252, 4194392, F4, 29) (dual of [4194392, 4194140, 30]-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 (223, 252, 419439)-net over F4 | [i] | Net Defined by OOA | |