Information on Result #1316343
Linear OA(25110, 390663, F25, 27) (dual of [390663, 390553, 28]-code), using construction X with Varšamov bound based on
- linear OA(25109, 390661, F25, 27) (dual of [390661, 390552, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(18) [i] based on
- linear OA(25101, 390625, F25, 27) (dual of [390625, 390524, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2573, 390625, F25, 19) (dual of [390625, 390552, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(258, 36, F25, 7) (dual of [36, 28, 8]-code), using
- extended algebraic-geometric code AGe(F,28P) [i] based on function field F/F25 with g(F) = 1 and N(F) ≥ 36, using
- construction X applied to Ce(26) ⊂ Ce(18) [i] based on
- linear OA(25109, 390662, F25, 26) (dual of [390662, 390553, 27]-code), using Gilbert–Varšamov bound and bm = 25109 > Vbs−1(k−1) = 128618 797003 663133 736227 026501 460636 344776 526781 258748 834414 568479 143361 667971 583423 555588 300343 693164 453577 316758 817140 794080 663135 772702 084138 324729 [i]
- linear OA(250, 1, F25, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(25110, 390663, F25, 2, 27) (dual of [(390663, 2), 781216, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (83, 110, 390663)-net over F25 | [i] | ||
| 3 | Linear OOA(25110, 195331, F25, 2, 27) (dual of [(195331, 2), 390552, 28]-NRT-code) | [i] | OOA Folding | |