Information on Result #1300953
Linear OA(4245, 262, F4, 156) (dual of [262, 17, 157]-code), using construction X with Varšamov bound based on
- linear OA(4226, 242, F4, 156) (dual of [242, 16, 157]-code), using
- 15 times truncation [i] based on linear OA(4241, 257, F4, 171) (dual of [257, 16, 172]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,85], and minimum distance d ≥ |{−85,−84,…,85}|+1 = 172 (BCH-bound) [i]
- 15 times truncation [i] based on linear OA(4241, 257, F4, 171) (dual of [257, 16, 172]-code), using
- linear OA(4226, 243, F4, 137) (dual of [243, 17, 138]-code), using Gilbert–Varšamov bound and bm = 4226 > Vbs−1(k−1) = 7528 253035 070628 593967 531963 149070 786584 698945 696065 598469 993261 377437 312578 624328 728884 297542 645960 273681 229723 848411 922898 630507 881486 [i]
- linear OA(418, 19, F4, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,4)), using
- dual of repetition code with length 19 [i]
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 OA(4245, 262, F4, 155) (dual of [262, 17, 156]-code) | [i] | Strength Reduction | |