Information on Result #1562465
Linear OOA(9132, 3761623, F9, 3, 21) (dual of [(3761623, 3), 11284737, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9132, 3761623, F9, 21) (dual of [3761623, 3761491, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(9132, 4782996, F9, 21) (dual of [4782996, 4782864, 22]-code), using
- construction XX applied to Ce(20) ⊂ Ce(16) ⊂ Ce(15) [i] based on
- linear OA(9127, 4782969, F9, 21) (dual of [4782969, 4782842, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(999, 4782969, F9, 16) (dual of [4782969, 4782870, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(94, 26, F9, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,9)), using
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(20) ⊂ Ce(16) ⊂ Ce(15) [i] based on
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(9132, 940405, F9, 27, 21) (dual of [(940405, 27), 25390803, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |