Information on Result #1723261
Linear OOA(5143, 412301, F5, 21, 19) (dual of [(412301, 21), 8658178, 20]-NRT-code), using OOA 3-folding and stacking with additional row based on linear OOA(5143, 1236904, F5, 3, 19) (dual of [(1236904, 3), 3710569, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5143, 1236905, F5, 3, 19) (dual of [(1236905, 3), 3710572, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5143, 1236905, F5, 19) (dual of [1236905, 1236762, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(5143, 1953161, F5, 19) (dual of [1953161, 1953018, 20]-code), using
- construction XX applied to Ce(18) ⊂ Ce(15) ⊂ Ce(13) [i] based on
- linear OA(5136, 1953125, F5, 19) (dual of [1953125, 1952989, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(5109, 1953125, F5, 16) (dual of [1953125, 1953016, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(5100, 1953125, F5, 14) (dual of [1953125, 1953025, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(54, 33, F5, 2) (dual of [33, 29, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(54, 124, F5, 2) (dual of [124, 120, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(54, 124, F5, 2) (dual of [124, 120, 3]-code), using
- linear OA(51, 3, F5, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [i]
- discarding factors / shortening the dual code based on linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- construction XX applied to Ce(18) ⊂ Ce(15) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(5143, 1953161, F5, 19) (dual of [1953161, 1953018, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5143, 1236905, F5, 19) (dual of [1236905, 1236762, 20]-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 (124, 143, 412301)-net over F5 | [i] | Net Defined by OOA | |