Information on Result #707986
Linear OA(486, 1033, F4, 23) (dual of [1033, 947, 24]-code), using construction XX applied to C1 = C([1022,20]), C2 = C([0,21]), C3 = C1 + C2 = C([0,20]), and C∩ = C1 ∩ C2 = C([1022,21]) based on
- linear OA(481, 1023, F4, 22) (dual of [1023, 942, 23]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−1,0,…,20}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(481, 1023, F4, 22) (dual of [1023, 942, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(486, 1023, F4, 23) (dual of [1023, 937, 24]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−1,0,…,21}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(476, 1023, F4, 21) (dual of [1023, 947, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code) (see above)
Mode: Constructive and 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(491, 1056, F4, 23) (dual of [1056, 965, 24]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(492, 1076, F4, 23) (dual of [1076, 984, 24]-code) | [i] | ||
| 3 | Linear OA(493, 1109, F4, 23) (dual of [1109, 1016, 24]-code) | [i] | ||
| 4 | Linear OA(494, 1157, F4, 23) (dual of [1157, 1063, 24]-code) | [i] | ||
| 5 | Linear OA(495, 1219, F4, 23) (dual of [1219, 1124, 24]-code) | [i] | ||
| 6 | Linear OA(496, 1293, F4, 23) (dual of [1293, 1197, 24]-code) | [i] | ||
| 7 | Linear OA(497, 1374, F4, 23) (dual of [1374, 1277, 24]-code) | [i] | ||
| 8 | Linear OOA(486, 516, F4, 2, 23) (dual of [(516, 2), 946, 24]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(486, 344, F4, 3, 23) (dual of [(344, 3), 946, 24]-NRT-code) | [i] | ||